What is expand (1+e^{-2t})^2 ?

The solution to expand (1+e^{-2t})^2 is 1+2e^{-2t}+e^{-4t}

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expand (1+e^{-2t})^2

expand

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

1 + 2 e^{- 2 t} + e^{- 4 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{- 2 t}

= 1^{2} + 2 \cdot 1 \cdot e^{- 2 t} + (e^{- 2 t})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot e^{- 2 t} + (e^{- 2 t})^{2} : 1 + 2 e^{- 2 t} + e^{- 4 t}

= 1 + 2 e^{- 2 t} + e^{- 4 t}

\frac{10}{3} x

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

(1 - t, 3 (1 - t) (4 + t), - (1 - t + 2 - t)) (- 1, 1, - 1)

\frac{2 x + 1}{U ^{6} ( x - 3 ) ^{6} x}

\frac{( ( x + 3 ) ^{2} )}{( x + 1 ) ^{3} ( x + 2 ) ^{2}}

What is expand (1+e^{-2t})^2 ?
The solution to expand (1+e^{-2t})^2 is 1+2e^{-2t}+e^{-4t}