What is expand (1-e^{x/(25)})^2 ?

The solution to expand (1-e^{x/(25)})^2 is 1-2e^{x/(25)}+e^{(2x)/(25)}

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expand (1-e^{x/(25)})^2

expand

(1 - e^{\frac{x}{25}})^{2}

1 - 2 e^{\frac{x}{25}} + e^{\frac{2 x}{25}}

Solution steps

(1 - e^{\frac{x}{25}})^{2}

Apply Perfect Square Formula:

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

a = 1, b = e^{\frac{x}{25}}

= 1^{2} - 2 \cdot 1 \cdot e^{\frac{x}{25}} + (e^{\frac{x}{25}})^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot e^{\frac{x}{25}} + (e^{\frac{x}{25}})^{2} : 1 - 2 e^{\frac{x}{25}} + e^{\frac{2 x}{25}}

= 1 - 2 e^{\frac{x}{25}} + e^{\frac{2 x}{25}}

\frac{( x + 5 ) ( 4 x + 320 )}{x}

(2 + d^{2} e) (2 - d^{2} e)

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

\frac{x}{4 ( x + 4 )}

\frac{1}{( y - 4 ) ( y - 7 )}

What is expand (1-e^{x/(25)})^2 ?
The solution to expand (1-e^{x/(25)})^2 is 1-2e^{x/(25)}+e^{(2x)/(25)}