Question

2x - 5/4x^2- 10x

Simplify the rational expression and find the non-permissible values

Answer 1

`(1)/(2x)` , x ≠ 0

Explanation:

Given

`(2x-5)/(4x^2-10x)` ← factor the denominator by factoring out 2x from each term

=
`(2x-5)/(2x(2x-5))` ← cancel the factor (2x - 5) on numerator/ denominator

=
`(1)/(2x)`

The denominator cannot be zero as this would make it undefined.

Thus x = 0 is the non- permissible value