Question

Choose the correct simplification of the expression (2x-6)(3x^2-3x-6)

A. 6x^3-24x^2+6x+36
B. 6x^3-24x^2+6x-36
C. 6x^3+24x^2-6x+36
D. 6x^3-24x^2+6x+12

Answer 1

A. 6x^3 - 24x^2 + 6x + 36.

Explanation:

(2x - 6)(3x^2 - 3x - 6)

= 2x(3x^2 - 3x - 6) - 6(3x^2-3x-6)

= 6x^3 - 6x^2 - 12x - 18x^2 + 18x + 36

Simplifying like terms:

= 6x^3 - 24x^2 + 6x + 36 (answer).