What is expand (3.5+e^{-x})^2 ?

The solution to expand (3.5+e^{-x})^2 is 12.25+7e^{-x}+e^{-2x}

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expand (3.5+e^{-x})^2

expand

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

12.25 + 7 e^{- x} + e^{- 2 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = 3.5, b = e^{- x}

= 3. 5^{2} + 2 \cdot 3.5 e^{- x} + (e^{- x})^{2}

Simplify

3. 5^{2} + 2 \cdot 3.5 e^{- x} + (e^{- x})^{2} : 12.25 + 7 e^{- x} + e^{- 2 x}

= 12.25 + 7 e^{- x} + e^{- 2 x}

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What is expand (3.5+e^{-x})^2 ?
The solution to expand (3.5+e^{-x})^2 is 12.25+7e^{-x}+e^{-2x}