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Popular >

factor be^{-x}+e^x

Solution

factor

b e^{- x} + e^{x}

Solution

e^{- x} (b + e^{2 x})

Solution steps

b e^{- x} + e^{x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

e^{x} = e^{- x} e^{2 x}

= b e^{- x} + e^{- x} e^{2 x}

Factor out common term

e^{- x}

= e^{- x} (b + e^{2 x})

Popular Examples

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e^{4} + 4

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4 a + 4 b + x b + x a

Frequently Asked Questions (FAQ)

What is factor be^{-x}+e^x ?
The solution to factor be^{-x}+e^x is e^{-x}(b+e^{2x})