What is expand (sin(x)(1-cos(x)))/(x^2) ?

The solution to expand (sin(x)(1-cos(x)))/(x^2) is (sin(x))/(x^2)-(sin(x)cos(x))/(x^2)

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expand (sin(x)(1-cos(x)))/(x^2)

expand

\frac{sin ( x ) ( 1 - cos ( x ) )}{x ^{2}}

\frac{sin ( x )}{x ^{2}} - \frac{sin ( x ) cos ( x )}{x ^{2}}

Solution steps

\frac{sin ( x ) ( 1 - cos ( x ) )}{x ^{2}}

Expand

sin (x) (1 - cos (x)) : sin (x) - sin (x) cos (x)

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

(- 4 x^{5})^{2}

sin (k (t - u))

\frac{( 2 x ^{3} - 1 ) ( 4 - 3 x )}{( 2 x ^{2} + 1 ) ^{2}}

\frac{40 - 3 x}{x ^{2} ( x ^{2} - 9 x + 20 )}

(2 x e^{e} + e^{x}) d x + (x^{2} + 1) e^{y} d y

What is expand (sin(x)(1-cos(x)))/(x^2) ?
The solution to expand (sin(x)(1-cos(x)))/(x^2) is (sin(x))/(x^2)-(sin(x)cos(x))/(x^2)