Simplify the expression.
-$\frac { y ^ { 3 } - 8 } { y - 2 }$
A) $\frac { y ^ { 3 } - 8 } { y - 2 }$
B) $y ^ { 2 } + 2 y + 4$
C) $y ^ { 2 } - 4$
D) $\frac { 1 } { y - 2 }$

Question

Quizplus · Accepted Answer

The expression $\frac { y ^ { 3 } - 8 } { y - 2 }$ simplifies to $y ^ { 2 } + 2 y + 4$ because $y^3 - 8$ is a difference of cubes, which factors as $(y - 2)(y^2 + 2y + 4)$. When divided by $y - 2$, the result is $y^2 + 2y + 4$.

Simplify the Expression y3−8y−2\frac { y ^ { 3 } - 8 } { y - 2 }y−2y3−8​

Simplify the Expression $\frac { y ^ { 3 } - 8 } { y - 2 }$