Question

In Exercise,factor the expression.
ex - xe - x

Answer 1

`{e}^(x) - x {e}^( - x) = {e}^(x) (1 - x {e}^( - 2x) )`

Explanation:

Assuming the given expresion is

`{e}^(x) - x {e}^( - x)`

This expression is the same as

`1 \cdot{e}^(x) - x {e}^( x) \cdot \: {e}^( - 2x)`

We can now factor

`{e}^(x)`

to get

`{e}^(x) (1 - x {e}^( - 2x) )`

Therefore

`{e}^(x) - x {e}^( - x) = {e}^(x) (1 - x {e}^( - 2x) )`