What is expand (5x-e^{-x})^2 ?

The solution to expand (5x-e^{-x})^2 is 25x^2-10e^{-x}x+e^{-2x}

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expand (5x-e^{-x})^2

expand

(5 x - e^{- x})^{2}

25 x^{2} - 10 e^{- x} x + e^{- 2 x}

Solution steps

(5 x - e^{- x})^{2}

Apply Perfect Square Formula:

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

a = 5 x, b = e^{- x}

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

Simplify

(5 x)^{2} - 2 \cdot 5 x e^{- x} + (e^{- x})^{2} : 25 x^{2} - 10 e^{- x} x + e^{- 2 x}

= 25 x^{2} - 10 e^{- x} x + e^{- 2 x}

\frac{1}{( s ^{2} + 4 s + 5 ) ^{2}}

(x - 3 y = 6,) - (x - 7 y = 6)

P (1, - 3) Q (2, 1)

\frac{44 z f ^{2}}{11 f z ^{2}}

\frac{1}{2 5 x + 1} \cdot 5 \cdot \frac{1}{3}

What is expand (5x-e^{-x})^2 ?
The solution to expand (5x-e^{-x})^2 is 25x^2-10e^{-x}x+e^{-2x}