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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

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

(298) (h^{2} + 298)

(- 5 + 61)^{6}

\frac{1}{x ( x ^{2} - 8 )}

\frac{4 π x ^{2}}{4 π} + \frac{( - 4 x + 7 ) ^{2}}{4 π}

11 (6 + 7)

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