Simplify the rational expression.
-$$\frac { x ^ { 3 } - 216 } { x - 6 }$$
A) $x ^ { 2 } + 6 x + 36$
B) $\frac { 1 } { x - 6 }$
C) $x ^ { 2 } - 36$
D) $\frac { x ^ { 3 } - 216 } { x - 6 }$

Question

Quizplus · Accepted Answer

The numerator $x^3 - 216$ is a difference of cubes, which can be factored as $(x - 6)(x^2 + 6x + 36)$. Dividing this by $x - 6$ leaves $x^2 + 6x + 36$.

Simplify the Rational Expression x3−216x−6\frac { x ^ { 3 } - 216 } { x - 6 }x−6x3−216​

Simplify the Rational Expression $\frac { x ^ { 3 } - 216 } { x - 6 }$