What is expand (e^{-6t}+e^{6t})^2 ?

The solution to expand (e^{-6t}+e^{6t})^2 is e^{-12t}+2+e^{12t}

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expand (e^{-6t}+e^{6t})^2

expand

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

e^{- 12 t} + 2 + e^{12 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{- 6 t}, b = e^{6 t}

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

Simplify

(e^{- 6 t})^{2} + 2 e^{- 6 t} e^{6 t} + (e^{6 t})^{2} : e^{- 12 t} + 2 + e^{12 t}

= e^{- 12 t} + 2 + e^{12 t}

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What is expand (e^{-6t}+e^{6t})^2 ?
The solution to expand (e^{-6t}+e^{6t})^2 is e^{-12t}+2+e^{12t}