Question

Simplify the following rational expression. (HELP PLS?)

Answer 1

Answer:

Simplified expression: $\frac{1}{y+8 }$.

The value of y that makes the expression undefined is y=-8.

Step-by-step explanation:

$\frac{2y^{3}}{2y^{4}+16y^{3}}$

= $\frac{2y^{3}}{2y^{3}(y+8) }$

(cancel out 2y³)

=$\frac{1}{y+8 }$

A rational expression is undefined when the denominator (bottom number) is  zero. So, if y equalled -8, the expression would ultimately equal $\frac{1}{0}$, which is undefined.