What is expand (4+3e^{-x})^2 ?

The solution to expand (4+3e^{-x})^2 is 16+24e^{-x}+9e^{-2x}

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expand (4+3e^{-x})^2

expand

(4 + 3 e^{- x})^{2}

16 + 24 e^{- x} + 9 e^{- 2 x}

Solution steps

(4 + 3 e^{- x})^{2}

Apply Perfect Square Formula:

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

a = 4, b = 3 e^{- x}

= 4^{2} + 2 \cdot 4 \cdot 3 e^{- x} + (3 e^{- x})^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 3 e^{- x} + (3 e^{- x})^{2} : 16 + 24 e^{- x} + 9 e^{- 2 x}

= 16 + 24 e^{- x} + 9 e^{- 2 x}

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

(x^{3} - 4 x) d x

(2 x) (x) (\frac{50}{x ^{2}})

\frac{( e ^{k t} - 1 ) k ^{2} + 1}{k}

6 (e - 3)

What is expand (4+3e^{-x})^2 ?
The solution to expand (4+3e^{-x})^2 is 16+24e^{-x}+9e^{-2x}