What is expand (3-(e^x)/(10))^2 ?

The solution to expand (3-(e^x)/(10))^2 is 9-(3e^x)/5+(e^{2x})/(100)

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expand (3-(e^x)/(10))^2

expand

(3 - \frac{e ^{x}}{10})^{2}

9 - \frac{3 e ^{x}}{5} + \frac{e ^{2 x}}{100}

Solution steps

(3 - \frac{e ^{x}}{10})^{2}

Apply Perfect Square Formula:

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

a = 3, b = \frac{e ^{x}}{10}

= 3^{2} - 2 \cdot 3 \cdot \frac{e ^{x}}{10} + (\frac{e ^{x}}{10})^{2}

Simplify

3^{2} - 2 \cdot 3 \cdot \frac{e ^{x}}{10} + (\frac{e ^{x}}{10})^{2} : 9 - \frac{3 e ^{x}}{5} + \frac{e ^{2 x}}{100}

= 9 - \frac{3 e ^{x}}{5} + \frac{e ^{2 x}}{100}

\frac{( x + 7 ) ^{2}}{2}

\frac{( 2 + x ) ^{6}}{64}

f (x) = e^{2 (x - 1)}

\frac{2 u}{s ^{2} ( s + 4 )}

\frac{1}{( n + 1 ) ^{2}}

What is expand (3-(e^x)/(10))^2 ?
The solution to expand (3-(e^x)/(10))^2 is 9-(3e^x)/5+(e^{2x})/(100)