What is expand (3+e^{-x})^2 ?

The solution to expand (3+e^{-x})^2 is 9+6e^{-x}+e^{-2x}

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expand (3+e^{-x})^2

expand

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

9 + 6 e^{- x} + e^{- 2 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = 3, b = e^{- x}

= 3^{2} + 2 \cdot 3 e^{- x} + (e^{- x})^{2}

Simplify

3^{2} + 2 \cdot 3 e^{- x} + (e^{- x})^{2} : 9 + 6 e^{- x} + e^{- 2 x}

= 9 + 6 e^{- x} + e^{- 2 x}

(\frac{6}{100}) + 1.61 (\frac{9.5}{100} - \frac{6}{100}) + 1.5

\frac{19 x - 34}{( x - 2 ) ( x ^{2} + 1 )}

(cos (x) + k) (k - sin (x))

x (x - 3)^{2}

(x^{\frac{3}{2}} - 4 x) (x^{4} - \frac{3}{x ^{2}} + 2)

What is expand (3+e^{-x})^2 ?
The solution to expand (3+e^{-x})^2 is 9+6e^{-x}+e^{-2x}