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}

((x, y) - (5, 2)) \cdot (- 3, 1)

\frac{11 ( x - 24 )}{2}

\frac{( 7 s - 1 )}{( s + 1 ) ( s + 2 ) ( s - 3 )}

(2 x - 3 y) d x + x d y

\frac{x ^{2} - 2 x}{( x - 1 ) ^{2} ( x + 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)