Question

Find the following product.

(x - 2)^3

a. x^3 - 6x^2 + 6x - 8
b. x^3 - 6x^2 + 8x - 8
c. x^3 - 2x^2 + 8x - 8
d. x^3 - 6x^2 + 12x - 8

Answer 1

d

Answer 2

(x - 2)^3
(x - 2)(x - 2)(x - 2)
Distribute.
(x² - 4x + 4)(x - 2)
Definition of distribute means:
x(x² - 4x + 4) - 2(x² - 4x + 4)
All I did was distribute the first pair of parentheses into each of the terms in the second.
x³ - 4x² + 4x - 2x² + 8x - 8
Simplify.
x³ - 6x² + 12x - 8

And there's your answer!