What is expand (e^{17x}-e^{-20x})^2 ?

The solution to expand (e^{17x}-e^{-20x})^2 is e^{34x}-2e^{-3x}+e^{-40x}

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expand (e^{17x}-e^{-20x})^2

expand

(e^{17 x} - e^{- 20 x})^{2}

e^{34 x} - 2 e^{- 3 x} + e^{- 40 x}

Solution steps

(e^{17 x} - e^{- 20 x})^{2}

Apply Perfect Square Formula:

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

a = e^{17 x}, b = e^{- 20 x}

= (e^{17 x})^{2} - 2 e^{17 x} e^{- 20 x} + (e^{- 20 x})^{2}

Simplify

(e^{17 x})^{2} - 2 e^{17 x} e^{- 20 x} + (e^{- 20 x})^{2} : e^{34 x} - 2 e^{- 3 x} + e^{- 40 x}

= e^{34 x} - 2 e^{- 3 x} + e^{- 40 x}

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What is expand (e^{17x}-e^{-20x})^2 ?
The solution to expand (e^{17x}-e^{-20x})^2 is e^{34x}-2e^{-3x}+e^{-40x}