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

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

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

expand

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

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

Solution steps

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

(1 - cos (x))^{2} = 1 - 2 cos (x) + cos^{2} (x)

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

Apply the fraction rule:

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

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

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

\frac{3 x + 5}{( x - 1 ) ( x ^{4} + 7 )}

(x + b x)^{2} + 25

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

4 - 6 (2 x + 1 = 10)

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