What is expand ((p-3)(q+5))/2 ?

The solution to expand ((p-3)(q+5))/2 is (pq)/2+(5p)/2-(3q)/2-15/2

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expand ((p-3)(q+5))/2

expand

\frac{( p - 3 ) ( q + 5 )}{2}

\frac{pq}{2} + \frac{5 p}{2} - \frac{3 q}{2} - \frac{15}{2}

Solution steps

\frac{( p - 3 ) ( q + 5 )}{2}

Expand

(p - 3) (q + 5) : pq + 5 p - 3 q - 15

= \frac{pq + 5 p - 3 q - 15}{2}

Apply the fraction rule:

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

\frac{pq + 5 p - 3 q - 15}{2} = \frac{pq}{2} + \frac{5 p}{2} - \frac{3 q}{2} - \frac{15}{2}

= \frac{pq}{2} + \frac{5 p}{2} - \frac{3 q}{2} - \frac{15}{2}

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What is expand ((p-3)(q+5))/2 ?
The solution to expand ((p-3)(q+5))/2 is (pq)/2+(5p)/2-(3q)/2-15/2