What is expand ((80-q)q)/4 ?

The solution to expand ((80-q)q)/4 is -(q^2)/4+20q

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expand ((80-q)q)/4

expand

\frac{( 80 - q ) q}{4}

- \frac{q ^{2}}{4} + 20 q

Solution steps

\frac{( 80 - q ) q}{4}

Expand

(80 - q) q : 80 q - q^{2}

= \frac{80 q - q ^{2}}{4}

Apply the fraction rule:

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

\frac{80 q - q ^{2}}{4} = \frac{80 q}{4} - \frac{q ^{2}}{4}

= \frac{80 q}{4} - \frac{q ^{2}}{4}

Divide the numbers:

\frac{80}{4} = 20

= 20 q - \frac{q ^{2}}{4}

Rewrite in standard form

= - \frac{q ^{2}}{4} + 20 q

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