Find the indicated product by applying the distributive property and combining similar terms. $\left( x ^ { 2 } - 3 x - 2 \right) \left( x ^ { 2 } + 6 x - 6 \right)$
A) $x ^ { 4 } + 3 x ^ { 3 } - 26 x ^ { 2 } + 6 x - 12$
B) $x ^ { 4 } + 3 x ^ { 3 } - 26 x ^ { 2 } + 18 x + 12$
C) $x ^ { 4 } + 3 x ^ { 3 } - 8 x ^ { 2 } + 12 x + 6$
D) $x ^ { 4 } - 3 x ^ { 3 } - 24 x ^ { 2 } + 6 x + 12$
E) $x ^ { 4 } + 3 x ^ { 3 } - 26 x ^ { 2 } + 6 x + 12$

Question

Quizplus · Accepted Answer

Using distributive property:
$x^2(x^2+6x-6)-3x(x^2+6x-6)-2(x^2+6x-6)$
$= x^4+6x^3-6x^2-3x^3-18x^2+18x-2x^2-12x+12$
Combining like terms:
$=x^4+3x^3-26x^2+6x+12$

Find the Indicated Product by Applying the Distributive Property and Combining