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

Question

Quizplus · Accepted Answer

The expression $\frac { y ^ { 3 } - 216 } { y - 6 }$ can be simplified by factoring the numerator as a difference of cubes. $y^3 - 216$ can be factored as $(y - 6)(y^2 + 6y + 36)$. When you divide this by $y - 6$, the $(y - 6)$ terms cancel out, leaving $y^2 + 6y + 36$.

Simplify the Rational Expression y3−216y−6\frac { y ^ { 3 } - 216 } { y - 6 }y−6y3−216​

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