Question

In Exercise,factor the expression.
xex - e2x

Answer 1

Answer:
`e^x (x- e^(x))`

Explanation:

The given expression is
`xe^x - e^(2x)`

We can write
`e^(2x)` as
`e^(x+x) = e^x \cdot e^x`

[
`\because a^(m+n)=a^m\cdot a^n`] → Property of exponents

Now , the the given expression
`xe^x - e^(x+x)` will become
`xe^x - e^(x)\cdot e^x`

Taking
`e^x` out as common (Greatest common factor) , we get

`e^x (x- e^(x))` → Required factor form.

Hence, the answer is
`e^x (x- e^(x))`.