MATHEMATICS HIGH SCHOOL

What is the factorization of 216x12 – 64?(6x3 – 4)(36x6 + 24x3 + 16)
(6x3 – 4)(36x9 + 24x3 + 16)
(6x4 – 4)(36x8 + 24x4 + 16)
(6x4 – 4)(36x12 + 24x4 + 16)

Answers

Answer 1
Answer: 216x¹² - 64
8(27x¹²) - 8(8)
8(27x¹² - 8)
8(27x¹² + 18x⁶ - 18x⁶ + 12x⁴ - 12x⁴ - 8)
8(27x¹² + 18x⁸ + 12x⁴ - 18x⁸ - 12x⁴ - 8)
8[3x⁴(9x⁸) + 3x⁴(6x⁴) + 3x⁴(4) - 2(9x⁶) - 2(6x⁴) - 2(4)]
8[3x⁴(9x⁸ + 6x⁴ + 4) - 2(9x⁸ + 6x⁴ + 4)]
8(3x⁴ - 2)(9x⁸ + 6x⁴ + 4)

The answer is C.
Answer 2
Answer:

Hello there!


This is a difference of cubes of the form:


(a^3-b^3) which always factors to  (a-b)(a^2+ab+b^2)


So if you find the cube of each term you will have a and b for the factors above.


(216x^12)^(1/3)=6x^4  and 64^(1/3)=4 so


(6x^4-4)(36x^8+24x^4+16), So C. is the correct answer.



Related Questions

PLEASE HELP AND PLEASE DONT GUESS!!!!Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find how many of each kind of bill she has. A. 4 five-dollar bills, 10 one-dollar bills B. 3 five-dollar bills, 15 one-dollar bills C. 5 five-dollar bills, 5 one-dollar bills D. 5 five-dollar bills, 9 one-dollar bills
When 59,527 is divided by 23, the quotient is 2,588 R ___.
PLEASE PLEASE HELP FAST​
1234552°447°m/1 =m/2 =m/3=m/4=m/5=
Andrea has 18 yards of fabric. How many 4 inch pieces can she cut from her original piece

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters.What is the area A of the cross section of the column?
Give your answer in terms of pi.

Answers

Answer:

A=81\pi\ m^(2)

Step-by-step explanation:

Step 1

Find the radius of the circular cross section

we know that

The circumference is equal to

C=2\pi r

we have

C=18\pi\ m

substitute and solve for r

18\pi=2\pi r

simplify

18=2 r

r=9\ m

Step 2

Find the area of the circular cross section

The area of the circle is equal to

A=\pi r^(2)

we have

r=9\ m

substitute

A=\pi (9)^(2)

A=81\pi\ m^(2)

Rewrite the problem using fewer words. Leave out information that you do not need to solve the problem. Then solve the problem. For a science project, you record the high temperature each day. The high temperature on Day 1 was 6°less than on Day 4 and 4°less than on Day 10. The high temperature on Day 10 was 62°F. What was the high temperature on Day 1? What was the high temperature on Day if it was ° less than °F? The high temperature was

Answers

The high temperature was 98° because f to the y = 4-4 3

Can someone find slope ?

Answers

i think that the slope is 3/7

The radius r of a circle can be written as a function of the area A with the following equation: What is the domain of this function? Explain why it makes sense in this context.

Answers

Answer:

Hence, the domain of the function is:

[0,∞)

Step-by-step explanation:

We know that area of circle is given by the function:

A=\pi r^2

The radius r of a circle can be written as a function of the area A with the following equation:

Now we can represent r in terms of A as:

r^2=(A)/(\pi)\n\nr=\sqrt{(A)/(\pi)}

Now as we know that for the square root term to exist:

\sqrt{(A)/(\pi)}\geq0

i.e. A\geq0

A=0 represents a point circle since it's area is zero.

Hence, the domain of the function is:

[0,∞)
[0,infinity) because you can not take the radius of a negative mumber.

Line KL has an equation of a line y = 4x + 5. Which of the following could be an equation for a line that is perpendicular to line AB? (6 points)y = 4x − 8

y = 1 over 4x − 8

y = −4x − 8

y = −1 over 4x − 8

Answers

To find a perpendicular slope (or line), the slope (in this case 4x) must be the opposite sign and its reciprocal, which is basically the fraction flipped upside down. Since 4 is technically 4/1, that fraction flipped is 1/4. And since you need to flip the sign too, instead of it being a positive number, it's negative. Your answer is -1/4x-8
y = -1 over 4x - 8 is the answer I think

Can somebody possibly solve this???Consider a rectangle, for which perimeter = 2l+2w. perimeter = 2 l + 2 w . If the length of a rectangle is 5 m or less than twice the width, and the perimeter is 44 m long, find its length and width.

Answers

Final answer:

To determine the length and width of a rectangle, we can set up an equation using the given information and solve for the variables. By substituting the width back into the equation for the length, we find that the width is 9 meters and the length is 13 meters.

Explanation:

To solve this problem, we can start by using the given information to create equations. Let's assume that the width of the rectangle is 'w' meters. According to the problem, the length of the rectangle is 5 meters or less than twice the width, so the length can be represented as 2w - 5 meters.

The formula to calculate the perimeter of a rectangle is 2l + 2w, where 'l' is the length and 'w' is the width. We are given that the perimeter is 44 meters, so we can set up the equation as follows:

2(2w - 5) + 2w = 44

Simplifying the equation, we get:

4w - 10 + 2w = 44

Combining like terms, we have:

6w - 10 = 44

Next, we can isolate the variable by adding 10 to both sides:

6w = 54

Finally dividing both sides by 6, we find that:

w = 9

Therefore, the width of the rectangle is 9 meters. Substituting this value back into the equation for the length, we find:

l = 2w - 5 = 2(9) - 5 = 18 - 5 = 13 meters.

Learn more about Solving for the length and width of a rectangle here:

brainly.com/question/33815300

#SPJ1
Other Questions
86 is 45% of what number
Find the value of c that makes each trinomial a perfect square.
19. (3,5), (2,-2)write an equation in slope-intercept form for the line that passes through each pair of points
The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to the center of the circle