Use the formula for either sum of cubes or difference of cubes. (Carefully choose the right formula from your book.) Factor x^3 - 1000

Question

A: (x - 10)(x^2 + 10x + 100)

B: (x - 10)(x^2 + 20x + 100)

C: (x + 10)(x^2 - 10x + 100)

D: (x - 10)^3

E: (x - 10)(x^2 - 10x + 100)

Answer 1

Caleb

 

x³ - 1000

is equivalent to 

x³-10³

 

The basic formula to factor the difference of two cube is the following

 

a3-b3 = (a-b)(a²+ab+b²)

 

So in our case

x³-1000 = (x-10)(x²+10x+100)

 

A is the correct answer.