Question

11. Multiply 2(x-6)(x + 6).

A. 2x² - 36
B. 2x² - 72
C. 2x² - 12x +36
D. 2x² - 12x + 72
E. 2x² - 12x - 72

Answer 1

b: 2x² - 72

Explanation:

start by multiplying (x - 6) by (x + 6) with the distributive property.

• (x · x) and (x · 6) gives you x² + 6x

• (-6 · x) and (-6 · 6) gives you -6x - 36

combine all like terms (x² + 6x - 6x -36) = (x² - 36)

now multiply your previous result (x² - 36) by 2 using the distributive property.

• (2 · x²) and (2 · -36) gives you 2x² - 72 !!