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

The solution to expand (e^t(cos(t)-1))/t is (e^tcos(t))/t-(e^t)/t

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

(x - 2)^{2} + y^{2}

(x + \frac{1}{4}) (x - \frac{1}{4})

7 (5 + 1)

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

\frac{( x - y ) ^{3}}{( x + y )}

What is expand (e^t(cos(t)-1))/t ?
The solution to expand (e^t(cos(t)-1))/t is (e^tcos(t))/t-(e^t)/t