What is factor e^xcos(e^x)-e^{-x} ?

The solution to factor e^xcos(e^x)-e^{-x} is e^{-x}(e^{2x}cos(e^x)-1)

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factor e^xcos(e^x)-e^{-x}

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

= e^{- x} e^{2 x} cos (e^{- x} e^{2 x}) - e^{- x}

Factor out common term

e^{- x}

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

x^{3} + (m x^{2} - 9 x - 9 m)

cot (180 - 2 A)

x^{2 - 12}

e^{5} - 2 e^{3} + e

3 x - 4 (2 x + 7)

What is factor e^xcos(e^x)-e^{-x} ?
The solution to factor e^xcos(e^x)-e^{-x} is e^{-x}(e^{2x}cos(e^x)-1)