What is expand (r(r-θ))/(θ^2) ?

The solution to expand (r(r-θ))/(θ^2) is (r^2)/(θ^2)-r/θ

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expand (r(r-θ))/(θ^2)

expand

\frac{r ( r - θ )}{θ ^{2}}

\frac{r ^{2}}{θ ^{2}} - \frac{r}{θ}

Solution steps

\frac{r ( r - θ )}{θ ^{2}}

Expand

r (r - θ) : r^{2} - r θ

= \frac{r ^{2} - r θ}{θ ^{2}}

Apply the fraction rule:

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

\frac{r ^{2} - r θ}{θ ^{2}} = \frac{r ^{2}}{θ ^{2}} - \frac{r θ}{θ ^{2}}

= \frac{r ^{2}}{θ ^{2}} - \frac{r θ}{θ ^{2}}

Cancel

\frac{r θ}{θ ^{2}} : \frac{r}{θ}

= \frac{r ^{2}}{θ ^{2}} - \frac{r}{θ}

\frac{( 124 x + 127 ) ( x - 1 )}{30}

\frac{2 ( x ^{2} + 1 )}{x ^{2} ( x ^{2} + 5 )}

\frac{2 x - 4}{( x ^{2} + x ) ( x ^{2} + 1 )}

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

What is expand (r(r-θ))/(θ^2) ?
The solution to expand (r(r-θ))/(θ^2) is (r^2)/(θ^2)-r/θ