Factor by any method.
-$x ^ { 3 } - 216$
A) $( x + 6 ) \left( x ^ { 2 } - 6 x + 36 \right)$
B) $( x - 6 ) \left( x ^ { 2 } + 6 x + 36 \right)$
C) $( x - 6 ) \left( x ^ { 2 } + 36 \right)$
D) $( x + 216 ) \left( x ^ { 2 } - 1 \right)$

Question

Quizplus · Accepted Answer

This is a difference of cubes, factored as $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$. Here, $x^3 - 216$ can be written as $x^3 - 6^3$, which factors to $(x - 6)(x^2 + 6x + 36)$.

Factor by Any Method x3−216x ^ { 3 } - 216x3−216

Factor by Any Method $x ^ { 3 } - 216$