Question

Simplify the following rational expression.
(HELP PLS?)

Answer 1

Simplified expression:
`(1)/(y+8 )`.

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

Explanation:

`(2y^(3))/(2y^(4)+16y^(3))`

=
`(2y^(3))/(2y^(3)(y+8) )`

(cancel out 2y³)

=
`(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
`(1)/(0)`, which is undefined.