kynleigh0831
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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

Respuesta :

Answer:

A.  6x^3 - 24x^2 + 6x + 36.

Step-by-step 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).

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