What is expand (x^3)/4 (3/x-sin(3/x)) ?

The solution to expand (x^3)/4 (3/x-sin(3/x)) is (3x^2)/4-(x^3sin(3/x))/4

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expand (x^3)/4 (3/x-sin(3/x))

expand

\frac{x ^{3}}{4} (\frac{3}{x} - sin (\frac{3}{x}))

\frac{3 x ^{2}}{4} - \frac{x ^{3} sin ( \frac{3}{x} )}{4}

Solution steps

\frac{x ^{3}}{4} (\frac{3}{x} - sin (\frac{3}{x}))

Apply the distributive law:

a (b - c) = ab - a c

\frac{x ^{3}}{4} (\frac{3}{x} - sin (\frac{3}{x})) = \frac{x ^{3}}{4} \cdot \frac{3}{x} - \frac{x ^{3}}{4} sin (\frac{3}{x})

= \frac{x ^{3}}{4} \cdot \frac{3}{x} - \frac{x ^{3}}{4} sin (\frac{3}{x})

Simplify

\frac{x ^{3}}{4} \cdot \frac{3}{x} - \frac{x ^{3}}{4} sin (\frac{3}{x}) : \frac{3 x ^{2}}{4} - \frac{x ^{3} sin ( \frac{3}{x} )}{4}

= \frac{3 x ^{2}}{4} - \frac{x ^{3} sin ( \frac{3}{x} )}{4}

(9 u^{2}, - v, 64 u^{3}) \cdot (3, - 4, 0)

\frac{7 s + 33}{s ( s ^{2} - 2 s + 17 )}

(x + \frac{1}{3}) (x - \frac{1}{2}) (2 - x)

(e^{8 x} + 2)^{2}

- \frac{2 ( e ^{15} - 1 )}{3}

What is expand (x^3)/4 (3/x-sin(3/x)) ?
The solution to expand (x^3)/4 (3/x-sin(3/x)) is (3x^2)/4-(x^3sin(3/x))/4