What is expand (10(-jsin(nwt)-1))/(jwn) ?

The solution to expand (10(-jsin(nwt)-1))/(jwn) is -(10sin(nwt))/(nw)-(10)/(jnw)

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expand (10(-jsin(nwt)-1))/(jwn)

expand

\frac{10 ( - j sin ( n wt ) - 1 )}{j w n}

- \frac{10 sin ( n wt )}{n w} - \frac{10}{jn w}

Solution steps

\frac{10 ( - j sin ( n wt ) - 1 )}{j w n}

Expand

10 (- j sin (n wt) - 1) : - 10 j sin (n wt) - 10

= \frac{- 10 j sin ( n wt ) - 10}{jn w}

Apply the fraction rule:

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

\frac{- 10 j sin ( n wt ) - 10}{j w n} = - \frac{10 j sin ( n wt )}{j w n} - \frac{10}{j w n}

= - \frac{10 j sin ( n wt )}{jn w} - \frac{10}{jn w}

Cancel

\frac{10 j sin ( n wt )}{j w n} : \frac{10 sin ( n wt )}{n w}

= - \frac{10 sin ( n wt )}{n w} - \frac{10}{jn w}

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

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

\frac{16}{x ^{2} \cdot ( x - 4 )}

\frac{1}{s ^{2} ( s - k )}

\frac{( a ^{2} - b ^{2} ) ( b + a )}{b}

What is expand (10(-jsin(nwt)-1))/(jwn) ?
The solution to expand (10(-jsin(nwt)-1))/(jwn) is -(10sin(nwt))/(nw)-(10)/(jnw)