Factor.
-$$x ^ { 3 } - 27$$
A) $( x + 3 ) \left( x ^ { 2 } - 3 x + 9 \right)$
B) $( x + 27 ) ( x + 1 ) ( x - 1 )$
C) $( x - 3 ) \left( x ^ { 2 } + 3 x + 9 \right)$
D) $( x - 3 ) \left( x ^ { 2 } + 9 \right)$

Question

Quizplus · Accepted Answer

This expression is a difference of cubes, which factors as $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$. Here, $a = x$ and $b = 3$, so the factored form is $(x - 3)(x^2 + 3x + 9)$.

Factor - x3−27x ^ { 3 } - 27x3−27 A) (x+3)(x2−3x+9)( x + 3 ) \left( x ^ { 2 } - 3 x + 9 \right)(x+3)(x2−3x+9)

Factor
- $x ^ { 3 } - 27$ A) $( x + 3 ) \left( x ^ { 2 } - 3 x + 9 \right)$