What is expand (y(6t-sin(6t)))/(36) ?

The solution to expand (y(6t-sin(6t)))/(36) is (yt)/6-(ysin(6t))/(36)

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expand (y(6t-sin(6t)))/(36)

expand

\frac{y ( 6 t - sin ( 6 t ) )}{36}

\frac{y t}{6} - \frac{y sin ( 6 t )}{36}

Solution steps

\frac{y ( 6 t - sin ( 6 t ) )}{36}

Expand

y (6 t - sin (6 t)) : 6 y t - y sin (6 t)

= \frac{6 y t - y sin ( 6 t )}{36}

Apply the fraction rule:

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

\frac{6 y t - y sin ( 6 t )}{36} = \frac{6 y t}{36} - \frac{y sin ( 6 t )}{36}

= \frac{6 y t}{36} - \frac{y sin ( 6 t )}{36}

Cancel

\frac{6 y t}{36} : \frac{y t}{6}

= \frac{y t}{6} - \frac{y sin ( 6 t )}{36}

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What is expand (y(6t-sin(6t)))/(36) ?
The solution to expand (y(6t-sin(6t)))/(36) is (yt)/6-(ysin(6t))/(36)