What is expand (6(1-cos(x)))/(x^2) ?

The solution to expand (6(1-cos(x)))/(x^2) is 6/(x^2)-(6cos(x))/(x^2)

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expand (6(1-cos(x)))/(x^2)

expand

\frac{6 ( 1 - cos ( x ) )}{x ^{2}}

\frac{6}{x ^{2}} - \frac{6 cos ( x )}{x ^{2}}

Solution steps

\frac{6 ( 1 - cos ( x ) )}{x ^{2}}

Expand

6 (1 - cos (x)) : 6 - 6 cos (x)

= \frac{6 - 6 cos ( x )}{x ^{2}}

Apply the fraction rule:

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

\frac{6 - 6 cos ( x )}{x ^{2}} = \frac{6}{x ^{2}} - \frac{6 cos ( x )}{x ^{2}}

= \frac{6}{x ^{2}} - \frac{6 cos ( x )}{x ^{2}}

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

t^{3} (e^{- a t} + 1)^{2}

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

\frac{12 x - 9 x ^{2} - 4}{2 ( 3 x + 2 )}

\frac{5 x + 1}{( x + 1 ) ( x - 1 ) ( x + 2 )}

What is expand (6(1-cos(x)))/(x^2) ?
The solution to expand (6(1-cos(x)))/(x^2) is 6/(x^2)-(6cos(x))/(x^2)