What is factor Ae^{2x}+Be^{-2x} ?

The solution to factor Ae^{2x}+Be^{-2x} is e^{-2x}(Ae^{4x}+B)

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factor Ae^{2x}+Be^{-2x}

factor

A e^{2 x} + B e^{- 2 x}

e^{- 2 x} (A e^{4 x} + B)

Solution steps

A e^{2 x} + B e^{- 2 x}

Apply exponent rule:

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

e^{2 x} = e^{- 2 x} e^{4 x}

= A e^{- 2 x} e^{4 x} + B e^{- 2 x}

Factor out common term

e^{- 2 x}

= e^{- 2 x} (A e^{4 x} + B)

27 (h + 2)^{9} - k^{15} r^{3}

\frac{- 5 + 5 41}{2}

7 5 + 105

x - 2 x + 1

x^{10} - x^{5} y^{5} - 20 y^{10}

What is factor Ae^{2x}+Be^{-2x} ?
The solution to factor Ae^{2x}+Be^{-2x} is e^{-2x}(Ae^{4x}+B)