Question

In Exercise,factor the expression.
(xe - x)-1 + ex

Answer 1

The factorized expression is

`1 + x`

Explanation:

The first step to solve this problem is knowing that:

`(f(x))^(-1) = (1)/(f(x))`

So

`(xe^(-x))^(-1) + e^(x)`

`(1)/(xe^(-x)) + e^(x)`

`xe^(-x)((1)/(xe^(-x)) + e^(x))`

`1 + x`

The factorized expression is

`1 + x`