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

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

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

expand

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

1 + 2 e^{- u} + e^{- 2 u}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{- u}

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

Simplify

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

= 1 + 2 e^{- u} + e^{- 2 u}

(9 df - 7) 3

\frac{d x}{( e ^{y} + 1 ) ^{2} e ^{- y}}

y^{2} d x + (x^{2} + x y + y^{2}) d y

\frac{450}{( t + 3 ) ^{2}}

\frac{3 - x b}{( x + y ) x}

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