What is expand e^x(x/4-(e^{-2x})/8) ?

The solution to expand e^x(x/4-(e^{-2x})/8) is (e^xx)/4-(e^{-x})/8

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expand e^x(x/4-(e^{-2x})/8)

expand

e^{x} (\frac{x}{4} - \frac{e ^{- 2 x}}{8})

\frac{e ^{x} x}{4} - \frac{e ^{- x}}{8}

Solution steps

e^{x} (\frac{x}{4} - \frac{e ^{- 2 x}}{8})

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x}, b = \frac{x}{4}, c = \frac{e ^{- 2 x}}{8}

= e^{x} \frac{x}{4} - e^{x} \frac{e ^{- 2 x}}{8}

Simplify

e^{x} \frac{x}{4} - e^{x} \frac{e ^{- 2 x}}{8} : \frac{e ^{x} x}{4} - \frac{e ^{- x}}{8}

= \frac{e ^{x} x}{4} - \frac{e ^{- x}}{8}

\frac{3 ( 4 2 + 3 )}{23}

\frac{1}{s ( s + 3 ) ( s ^{2} + 4 s + 8 )}

202 (3 - 1)

+ \frac{1}{2} (\frac{1}{x ln ( 7 )} + 1)

\frac{1}{5} (15 a + b)

What is expand e^x(x/4-(e^{-2x})/8) ?
The solution to expand e^x(x/4-(e^{-2x})/8) is (e^xx)/4-(e^{-x})/8