HELP ME PLEASE:((
Question 1 of 10
Which of the following is most likely the next step in the series?

HELP ME PLEASE:((Question 1 Of 10Which Of The Following Is Most Likely The Next Step In The Series?

Answers

Answer 1

Answer: it should be A

Step-by-step explanation: just follow the pattern

Answer 2
The answer should be A because of the pattern

Related Questions

The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10

Answers

Answer:

y=10

Step-by-step explanation:

Answer:

\({ \tt{y {}^{2} = 4 {ax} }} \\ = - 10\)

if f(1) = 6 and f(n) = 4f (n-1) then find the value of f (5)

Answers

The value of f(5) is equal to 1536.

How to find a value of a recursive series

Recursive series are sets of elements which are generated at least by one condition. In this case, we have a recursive series generated by two conditions:

f(1) = 6, f(n) = 4 · f(n - 1)                 (1, 2)

Then, we proceed to make all the required steps to find f(5):

n = 2

f(2) = 4 · f(1) = 24

n = 3

f(3) = 4 · f(2) = 96

n = 4

f(4) = 4 · f(3) = 384

n = 5

f(5) = 4 · f(4) = 1536

The value of f(5) is equal to 1536.

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The table shows two options provided by a high-speed Internet provider.Setup Fee ($) Cost per Month ($)Option 1 4520Option 2 No setup fee$35Part 1 out of 2In how many months will the total cost of both options be the same? WhatIn months the total cost of both options will be the same. That cost

Answers

Ok, so

We have that, for option 1:

The total cost of the service will be:

20x + 45. Where x is the number of months.

Fot option 2, the total cost will be:

35x + 0. Where x is the number of months.

If we equal both equations, we obtain:

20x + 45 = 35x.

Now, we have to solve this equation to find the number of months in which the cost will be the same for two options.

Then, 45 = 15x and x=3.

So, the number of months is 3.

Then, that cost can be found, if we replace x=3 in any equation. For example, in equation 2:

Cost = 35x which is equal to 35*3 and this is 105.

So, after 6 months:

Option 1 will be equal to: 20(6) + 45 and this is: 165$.

Option 2 will be equal to 35(6) and this is: 210$.

Then, Option 1 will be the cheaper option.

Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)?.

Answers

The slope of the line that goes through the points (-4,1) and (4,-5) is -1/2 . A line's slope indicates the steepness and direction of the line.

what is slope ?

A line's slope indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2),The letter "m" is frequently used to signify slope. Positive slope occurs when a line slopes upward from left to right, whereas negative slope occurs when a line slopes downward from left to right, and zero slope occurs when a line slopes horizontally (when lines are horizontal)

calculation

Use the slope formula.

m= (y2-y1)/(x2-x1)

Plug in the points. (-4,5) and (4,1)

m= (1-5)/(4-(-4)

m= -4/4+4

m=-4/8

m=-1/2

the slope of the line that goes through the points (-4,1) and (4,-5) is - 1/2.

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Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. what would your advice be to her?

Answers

Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. Don't use the phone at all while driving.

What is rules of driving?

Always move over for pedestrians. Hold your position behind the red-lit school buses. Emergency vehicles with running sirens and flashing lights are approaching. Get rid of any outside influences. Always buckle up when you are driving.

I will advise her to refrain from using her phone at all while driving.

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PLS HELP FAST

3. Mary buys 9 of her friends each a cupcake. The are on sale for $0.25 off per cupcake. She paid $18.00 for all of them.


9(x-0.25)=18 9x-0.25=18


b. What was the original price of each cupcake?

c. What was the sale price of each cupcake?

Answers

The sale price of each cupcake is $20.25

Equation and expression

Given the equation that represents the  statement given as;

9(x-0.25)=18

Expand

9x - 9(0.25) = 18

9x - 2.25. = 18

Add 2.25 to both sides

9x - 2.25 + 2.25 =. 18 + 2.25

9x = 18 + 2.25

9x = 20.25

x = 20.25/9

x = 2.25

Hence the original price of each cupcake is $2.25

For the sale price

Sale price =9 * 2.25

Sae price = 20.25

Hence the sale price of each cupcake is $20.25

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Suppose that an investment has 0.5% chance of a loss of $10
million and a 99.5% chance of a loss of $1 million. What is the
Value-at-Risk (VaR) for this investment when the confidence level
is 99%

Answers

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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A bar that measures 8 inches long is divided into 5 equal parts. What is the length of one of those parts?​

Answers

Answer:1.6 inches

Step-by-step explanation:

the store offers a 20% discount. the discount price of a hat is 18$. What is the regular price

Answers

Answer:

regular price is $22.50

Step-by-step explanation: 22.50*.20=4.5 (discount)

Find 3 ratios that are equivalent to the given ratio.
12 to 30

Answers

Answer:

4:10

24:60

48:120

As long as you multiply or divide both sides of the ratio by the same number, you will have an equivalent ratio.

Need help with geometry problems

Need help with geometry problems
Need help with geometry problems
Need help with geometry problems
Need help with geometry problems
Need help with geometry problems

Answers

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

What is the Definition of a Midpoint?

The midpoint of a segment is where the segment is divided into two equal parts.

Thus, in question one, the statement that matches the reason in step 2 is: d. QS ≅ ST.

What is the Definition of Perpendicular Lines?

Two lines that are perpendicular to each other will form right angle where they intersect each other.

Therefore, in question 2, the statement for step 2 reason is: a. ∠A and ∠D are right angles.

For question 3, the statement for the reason in step 2 is D is the midpoint of segment AC; the reason in step 3 why AD ≅ CD is: definition of midpoint, while both triangles are congruent to each other based on SSS postulate.

In question 4, since BC bisects segment AD, therefore, the statement for reason 2 is: b. AC ≅ DC.

In question 5, since BC bisects angle ABD, therefore, the statement for reason 2 is: c. ∠ABC ≅ DBC.

In summary, applying the definition of midpoint among other definitions, the missing statements or reasons in the two-column proofs are:

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

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The tax rate increased from 25% to 40%.a. What is the absolute change in percentage points? b. What is the relative change?

Answers

Answer:

a. 15%

b. 60%

Explanation:

Part a.

The absolute change in percentage points can be calculated as

\(\text{ Absolute change = Final value - Initial value}\)

So, by replacing the final value with 40% and the initial value with 25%, we get

\(\text{ Absolute change = 40\%-25\% = 15\%}\)

Therefore, the absolute change is 15%

Part b.

The relative change can be calculated as

\(\text{ Relative change = }\frac{\text{ Final value - Initial Value}}{\text{ Initial value}}\times100\)

Replacing the final value with 40% and the initial value with 25%, we get

\(\begin{gathered} \text{ Relative change = }\frac{\text{ 40\% - 25\%}}{\text{ 25\%}}\times100 \\ \\ \text{ Relative change =}\frac{\text{ 15\%}}{\text{ 25\%}}\times100 \\ \\ \text{ Relative change = 0.6}\times100 \\ \text{ Relative change = 60\%} \end{gathered}\)

Therefore, the relative change is 60%

Find the perimeter
x + 7y

8x-x+y units

units
The perimeter is units.
(Simplify your answer. Do not factor)

Answers

Thus, the linear equation for the perimeter if the rectangle is found as:

P = 2(8x + 8y) units.

Explain about the perimeter of rectangle?

P = (L + W) 2 is the perimeter rule for a rectangle, where P stands for perimeter, L for length, and W for width.

To find the perimeter of a rectangle with specified dimensions, all you need to do is enter the values of L and W into the formula.

The perimeter calculation can be used, for instance, to calculate how many feet with brick border are required overall if the rectangle  depicts a garden that requires a brick border.

Given data:

Length = x + 7y units

Width = 8x-x+y units

perimeter P = 2(L + W)

P = 2(x + 7y + 8x - x + y)

adding the same variables.

P = 2(8x + 8y)

Thus, the linear equation for the perimeter if the rectangle is found as:

P = 2(8x + 8y) units.

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Complete question:

Find the perimeter

Length = x + 7y units

Width = 8x-x+y units

(2 1/3 - 1 5/6) divided by ÷ 1 1/3​

Answers

Answer:

the answer is 10/22 when i calculated it

1. (a) What is the largest number n for which it is possible to assign a colour (either red or blue) to each edge of a compete graph on n vertices so every subgraph on four vertices has a red edge and

Answers

The largest number of vertices, n, for which it is possible to assign colors (red or blue) to each edge of a complete graph such that every subgraph on four vertices has a red edge is 5.

To find the largest value of n, let's consider a complete graph on 5 vertices, labeled A, B, C, D, and E. Assigning colors to each edge such that every subgraph of four vertices contains a red edge can be achieved as follows:

First, let's consider any four vertices. Without loss of generality, assume these vertices are A, B, C, and D. To ensure that there is a red edge within this subgraph, we can assign the following colors to the edges connecting these vertices:

- AB: Red

- AC: Blue

- AD: Blue

- BC: Blue

- BD: Blue

- CD: Red

By following this assignment, we guarantee that any subgraph of four vertices contains a red edge. However, if we add a fifth vertex, E, and consider any subgraph containing E, there will be a case where all the edges are colored blue, violating the condition.

Therefore, the largest value of n for which it is possible to satisfy the given conditions is 5.

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10, –50, 250, ...
Find the 12 term

Answers

Answer:

12th term of the geometric sequence is -48,828,125

Step-by-step explanation:

Step 1: Given details are a = 10, n = 12 and r = a2/a1 = -50/10 = -5

Step 2: Calculate the 12th term of this geometric sequence using the formula a × r^(n-1)

⇒ 12th term = 10 × (-5)^(12 - 1) = 10 × (-5)^11 = -48,828,125

Step-by-step explanation:

Answer:

Step-by-step explanation:

10,-50,250,-1250,6250,-31250,156250,-781250,39076250,-19531250,97656250,-488281250

Answer is -488,281,250

10*-5=-50

-50*-5=250

250*-5=-1250….until you get -488,281,250

Susan had four bags of candy, each weighing 6 ounces. Isabel had one bag of candy weighing 1 pounds. Which girl has the more candy in weight? Your work will justify your answer.​

Answers

Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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Brandon take a rectangular piece of fabric and make a diagonal cut from one corner to the oppoite corner. The cut he make i 13 inche long and the width of the fabric i 5 inche. What i the fabric' length?

Answers

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain why he steps that you take to arrive your answer.

Answers

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

What is the Volume of a rectangular prism?

The Volume of rectangular prism = l×b×h

The volume of a prism,

V = L x B x H

V = 4 x 6 x 10

V = 240

When all the dimensions are doubled, the new volume will become

V1 =2L x 2B x 2H

V1 = 8(4 x 6 x 10)

V1 = 8(240)

V1 = 1920 cubic m

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

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factor out the greatest common factor ?

factor out the greatest common factor ?

Answers

Answer:

wait im srry i didnt get the question wht grade u in?

To find the GCF >>>> One of two or more expressions that are multiplied together to get a product.

1. 3x
2.7x^2
3. 3
4. 16x
5. 8xy
6. 5xy^2
7. 2x^4
8. 5xy

The distance y in miles traveled by a striped marlin in x hours is shown in the graph. Each ocean creature’s distance in miles is a direct variation of the time it travels in hours. Select which ocean creature is faster than the striped marlin.

A tuna travels at a speed of 43.5 miles per hour.


A wahoo fish that travels 144 miles in 3 hours and 192 miles in 4 hours.


A swordfish whose distance y in miles is represented by the equation y=60x, where x s the number of hours.


A Mako shark whose distance y in miles is represented by the equation y=31x, where x is the number of hours.

The distance y in miles traveled by a striped marlin in x hours is shown in the graph. Each ocean creatures

Answers

9514 1404 393

Answer:

  swordfish

Step-by-step explanation:

The graph shows the marlin travels 50 miles in 1 hour, and 150 miles in 3 hours. These numbers can be compared directly to those given for the tuna (43.5 miles in 1 hour) and the wahoo fish (144 miles in 3 hours).

The speeds of the swordfish and shark are the coefficients of x in their respective equations. The swordfish travels 60 mph, so is faster than the marlin. The shark travels 31 mph, so is slower.

exercise 1 find the surface area of the surface parametrized (and graphed) by the following commands. (you will need to cut and paste before you can evaluate them.) f[s , t ]

Answers

The surface area of a surface parametrized by a function f(s, t), we use the formula:

Surface Area = ∫∫ √[f_s(s,t)^2 + f_t(s,t)^2 + 1] ds dt

The formula above calculates the surface area by integrating the square root of the sum of the squares of the partial derivatives of f with respect to s and t, plus one, over the surface.

Essentially, the formula is finding the magnitude of the gradient of the surface, which gives the rate of change of the surface in all directions.

Surface Area = ∫∫ √[f_s(s,t)^2 + f_t(s,t)^2 + 1] ds dt

The surface area formula can be used to find the surface area of various types of surfaces, such as parametric surfaces, implicit surfaces, and surfaces of revolution.

However, the integration required to evaluate the formula can be quite challenging, especially for complex surfaces. In such cases, numerical methods may be used to approximate the surface area.

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a private opinion poll is conA private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. How large a sample is needed to be 92% confident that the sample proportion will not differ from the true proportion by more than 2% ducted for a politician to determine

Answers

Answer: 1,914

Step-by-step explanation:

first we take down the information given to us

For 92% confidence, z = 1.75

Error of margin  E = 2% = 0.02

Since no estimate of population proportion has been given, we will assume:

p = q = 0.50

Hence,  

Sample size required n

n = ( z/E)² × p × q

n = ( 1.75/0.02)² × 0.5 × 0.5

n = (87.5)² × 0.5 ×0.5

n =  1914

a circular mirror is surrounded by a square metal frame. the radius of the mirror is 2x. the side length of the metal frame is 12x what is he area of the metal frame?

Answers

The total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.

What is Area?

The area is the total area occupied by a flat (2-D) surface or the form of an object.

Create a square on paper by using a pencil.

Two dimensions make it up.

A form's area on paper is the space it takes up.

So, given, a square metal frame encircles a circular mirror.

The mirror has a 4x radius.

The metal frame's side length is 12x.

According to the basic formula for the area of a circle and a square:

area of a circle = pi * radius * radius

Square Area = Side * Side

In the given situation:

Mirror's Area = pi * 4x * 4x = pi * 16x² = 50.24x

Squared mirror's Area = 12x * 12x = 144x²

The area of the metal frame is the sum of the areas of the squared and round mirrors.

Metal frame area =   144x² -  50.24x²

Metal frame size = 93.76x²

Therefore, the total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.

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Correct question:

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 4x. The side length of the metal frame is 12x. What is the area of the metal​ frame?

What is the value of the expression below when x=5x=5?
8x+9

Answers

The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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what is ""27.430"" in expanded form

Answers

The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.

What is an expanded form?

A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.

Given that the number is 27.430. The expanded form of the number is written as:-

Expanded form:-

27.430 = 20 + 7 + 0.400 + 0.30.

When we add all the values of the expanded form we will get the previous value.

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A restaurant owner is
buying ice. She needs 60 pounds. Should
she buy the 20-pound bags of ice for
$4.78 each or the 10-pound bags of ice
For $2.75 each?

Answers

The person should buy the 20-pound bags of ice for $4.78 each since it's cheaper.

How to illustrate the espression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, 20-pound bags of ice for $4.78 each. The cost per pound will be:

= $4.78 / 20

= $0.239

The 10-pound bags of ice For $2.75 each. The cost per pound is:

= $2.75 / 10.

= $0.275

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Can you find the equation y=mx+b

Can you find the equation y=mx+b

Answers

Answer:

y = 3/5 x + 2

Step-by-step explanation:

y = mx + b

From the graph, we see that b = 2.

y = mx + 2

From the graph, we see that the slope is

slope = m = rise/run = 3/5

y = 3/5 x + 2

Which of the matrices that follow are in row echelon form which are in reduced row echelon form?

Answers

Matrix C is in both row echelon form and reduced row echelon form. Matrices A and B are in row echelon form but not in reduced row echelon form.

To determine whether a matrix is in row echelon form or reduced row echelon form, we need to consider the following conditions:

Row echelon form:

All rows consisting entirely of zeros are at the bottom of the matrix.

The first nonzero entry in each row, called a leading entry, is always to the right of the leading entry in the row above it.

All entries below and above a leading entry are zeros.

Reduced row echelon form (also known as row canonical form):

The matrix is in row echelon form.

Each leading entry is equal to 1.

Each leading 1 is the only nonzero entry in its column.

Now, let's analyze the matrices provided to determine which ones satisfy the conditions:

Matrix A:

1 0 3

0 1 2

0 0 0

Matrix A is in row echelon form. The leading entries are correctly positioned, and all entries below the leading entries are zeros. However, it does not meet the conditions for reduced row echelon form as the leading entries are not equal to 1.

Matrix B:

1 2 0

0 1 0

0 0 0

Matrix B is in row echelon form. The leading entries are correctly positioned, and all entries below the leading entries are zeros. However, it does not meet the conditions for reduced row echelon form as the leading entries are not equal to 1.

Matrix C:

1 0 0

0 1 0

0 0 1

Matrix C is in row echelon form and reduced row echelon form. It satisfies all the conditions for both forms. The leading entries are correctly positioned, all entries below and above the leading entries are zeros, and each leading entry is equal to 1.

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how do I simplify it to find the determinant in an easy way

how do I simplify it to find the determinant in an easy way

Answers

The determinant of the given matrix is \(2a^4bc+2c^4ab+6a^3b^2c+6a^3bc^2+6c^3ab^2+6a^2b^3c+12a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4\)

Determinant of the matrix:

Determinant of the matrix is defined as a scalar value which is associated with the square matrix.

Given,

Here we have the matrix show in the question.

Now, we need to find the determinant of the matrix.

To find the determinant of the matrix we have to do the following steps:

1) First we have to pick any row or column in the matrix. It does not matter which row or which column you use, the answer will be the same for any row or column.

2) After the selection you have to multiply every element in that row or column by its cofactor and add. The result is the determinant.

This process can be elaborated in the following steps:

\(=(b+c)^2 \times ((a+c)^2 \times (a+b)^2 - b^2 \times c^2) -a^2 \times (b^2 \times (a+b)^2 - b^2 \times c^2) +a^2 \times (b^2 \times c^2 - (a+c)^2 \times c^2)\)

When we expand the equation then we get,

\(=(b+c)^2 \times (a^4+2a^3b+2a^3c+a^2b^2+4a^2cb+c^2a^2+2c^2ab+c^2b^2+2acb^2 -b^2c^2) -a^2 \times(b^4+2b^3a+b^2a^2 -b^2c^2) +a^2 \times(b^2c^2 -c^4-2c^3a-c^2a^2)\)

Group the similar terms and arrange them in order,

\(=(b+c)^2 \times (a^4+2a^3b+2a^3c+a^2b^2+4a^2cb+c^2a^2+2c^2ab+2acb^2) -a^2 \times (b^4+2b^3a+b^2a^2-b^2c^2) +a^2 \times (-c^4-2c^3a+b^2c^2-c^2a^2)\)

Again we have to expand it and then we get,

\(= a^4b^2+2a^4bc+a^4c^2+c^4a^2+2c^4ab+2a^3b^3+6a^3b^2c+6a^3bc^2+2a^3c^3+6c^3ab^2+a^2b^4+6a^2b^3c+10a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4 -b^4a^2-2b^3a^3-b^2a^4+b^2c^2a^2 -c^4a^2-2c^3a^3+b^2c^2a^2-c^2a^4\)

After the simplification, the resulting determinant is

\(=2a^4bc+2c^4ab+6a^3b^2c+6a^3bc^2+6c^3ab^2+6a^2b^3c+12a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4\)

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