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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

x^{\frac{1}{3}} \cdot (x - 2)^{2}

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

\frac{csc ( a ) ( tan ( a ) - sin ( a ) )}{1 - sec ( a )}

\frac{x ( x + 4 )}{2}

(35 - 2) (4 + 7)

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