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

The solution to expand (e^x(1-cos(x)))/x is (e^x)/x-(e^xcos(x))/x

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

expand

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

\frac{e ^{x}}{x} - \frac{e ^{x} cos ( x )}{x}

Solution steps

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

Expand

e^{x} (1 - cos (x)) : e^{x} - e^{x} cos (x)

= \frac{e ^{x} - e ^{x} cos ( x )}{x}

Apply the fraction rule:

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

\frac{e ^{x} - e ^{x} cos ( x )}{x} = \frac{e ^{x}}{x} - \frac{e ^{x} cos ( x )}{x}

= \frac{e ^{x}}{x} - \frac{e ^{x} cos ( x )}{x}

m (- n) + mn

(y + 3 x) d x + x d y

\frac{x + 3}{( x - 7 ) ( x + 2 )}

\frac{π ( e ^{7} - 1 )}{7 e ^{7}}

\frac{d}{d t} ((X) (X - 1) (1 - 2 X))

What is expand (e^x(1-cos(x)))/x ?
The solution to expand (e^x(1-cos(x)))/x is (e^x)/x-(e^xcos(x))/x