Factoring Polynomials: Sum and Difference of Cubes

Question 1

Which expression is equivalent to ?

Revolt · Accepted Answer

7x3y4z2

Question 2

What is the factorization of 729x15 + 1000?

Revolt · Accepted Answer

(9x5 + 10)(81x10 – 90x5 + 100)

Question 3

What is the cube root of 64x12?

Revolt · Accepted Answer

4x4

Question 4

What is the factorization of 216x12 – 64?

Revolt · Accepted Answer

(6x4 – 4)(36x8 + 24x4 + 16)

Question 5

A and B are monomials where A = 125 and B = 27p12. What is the factored form of A – B?

Revolt · Accepted Answer

(5 – 3p4)(25 + 15p4 + 9p8)

Question 6

What is 125x9 + 64y12 written as a sum of cubes?

Revolt · Accepted Answer

(5x3)3 + (4y4)3

Question 7

Which monomial is a perfect cube?

Revolt · Accepted Answer

1x3

Question 8

Which is the factorization of x3 + 8?

Revolt · Accepted Answer

(x + 2)(x2 – 2x + 4)

Question 9

The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k?

Revolt · Accepted Answer

j = 4 and k = 10

Question 10

What is the cube root of 27x18?

Revolt · Accepted Answer

3x6

Factoring Polynomials: Sum and Difference of Cubes Answers