What is expand (e^{-3t}+e^{3t})^2 ?

The solution to expand (e^{-3t}+e^{3t})^2 is e^{-6t}+2+e^{6t}

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expand (e^{-3t}+e^{3t})^2

expand

(e^{- 3 t} + e^{3 t})^{2}

e^{- 6 t} + 2 + e^{6 t}

Solution steps

(e^{- 3 t} + e^{3 t})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = e^{- 3 t}, b = e^{3 t}

= (e^{- 3 t})^{2} + 2 e^{- 3 t} e^{3 t} + (e^{3 t})^{2}

Simplify

(e^{- 3 t})^{2} + 2 e^{- 3 t} e^{3 t} + (e^{3 t})^{2} : e^{- 6 t} + 2 + e^{6 t}

= e^{- 6 t} + 2 + e^{6 t}

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\frac{( 8 - 2 i ) ^{10}}{( 4 + 6 i ) ^{5}}

What is expand (e^{-3t}+e^{3t})^2 ?
The solution to expand (e^{-3t}+e^{3t})^2 is e^{-6t}+2+e^{6t}