What is expand (y(3t-sin(3t)))/9 ?

The solution to expand (y(3t-sin(3t)))/9 is (yt)/3-(ysin(3t))/9

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expand (y(3t-sin(3t)))/9

expand

\frac{y ( 3 t - sin ( 3 t ) )}{9}

\frac{y t}{3} - \frac{y sin ( 3 t )}{9}

Solution steps

\frac{y ( 3 t - sin ( 3 t ) )}{9}

Expand

y (3 t - sin (3 t)) : 3 y t - y sin (3 t)

= \frac{3 y t - y sin ( 3 t )}{9}

Apply the fraction rule:

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

\frac{3 y t - y sin ( 3 t )}{9} = \frac{3 y t}{9} - \frac{y sin ( 3 t )}{9}

= \frac{3 y t}{9} - \frac{y sin ( 3 t )}{9}

Cancel

\frac{3 y t}{9} : \frac{y t}{3}

= \frac{y t}{3} - \frac{y sin ( 3 t )}{9}

\frac{d ^{2}}{d t ^{2}} ((x^{2}) (2 t - 1))

\frac{j - 1}{( j + 2 ) ( j + 4 )}

\frac{7 x + 25}{( x + 4 ) ( x + 3 )}

\frac{d}{d t} ((z (t, x, y)) (x^{2} + y^{5}))

\frac{9 x - 8}{( x - 3 ) ( 2 x - 5 )}

What is expand (y(3t-sin(3t)))/9 ?
The solution to expand (y(3t-sin(3t)))/9 is (yt)/3-(ysin(3t))/9