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

asked Jun 11, 2021 198k views

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

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4 votes

Answer:

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

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

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

Chrisbro answered Jun 15, 2021

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