Simplify the rational expression.
-$\frac { y ^ { 3 } - 64 } { y - 4 }$
A) $y ^ { 2 } + 4 y + 16$
B) $y ^ { 2 } - 16$
C) $\frac { 1 } { y - 4 }$
D) $\frac { y ^ { 3 } - 64 } { y - 4 }$

Question

Quizplus · Accepted Answer

The numerator $y^3 - 64$ is a difference of cubes, which can be factored as $(y - 4)(y^2 + 4y + 16)$. Dividing this by $y - 4$ leaves $y^2 + 4y + 16$.

Simplify the Rational Expression y3−64y−4\frac { y ^ { 3 } - 64 } { y - 4 }y−4y3−64​

Simplify the Rational Expression $\frac { y ^ { 3 } - 64 } { y - 4 }$