What is expand ((c+s)pi-40r)/(17r) ?

The solution to expand ((c+s)pi-40r)/(17r) is (pic)/(17r)+(pis)/(17r)-40/17

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expand ((c+s)pi-40r)/(17r)

expand

\frac{( c + s ) π - 40 r}{17 r}

\frac{π c}{17 r} + \frac{π s}{17 r} - \frac{40}{17}

Solution steps

\frac{( c + s ) π - 40 r}{17 r}

Expand

(c + s) π - 40 r : π c + π s - 40 r

= \frac{π c + π s - 40 r}{17 r}

Apply the fraction rule:

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

\frac{π c + π s - 40 r}{17 r} = \frac{π c}{17 r} + \frac{π s}{17 r} - \frac{40 r}{17 r}

= \frac{π c}{17 r} + \frac{π s}{17 r} - \frac{40 r}{17 r}

Cancel

\frac{40 r}{17 r} : \frac{40}{17}

= \frac{π c}{17 r} + \frac{π s}{17 r} - \frac{40}{17}

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What is expand ((c+s)pi-40r)/(17r) ?
The solution to expand ((c+s)pi-40r)/(17r) is (pic)/(17r)+(pis)/(17r)-40/17