What is expand ((56+r)\times (9+r))/2 ?

The solution to expand ((56+r)\times (9+r))/2 is (r^2)/2+(65r)/2+252

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expand ((56+r)\times (9+r))/2

expand

\frac{( 56 + r ) \cdot ( 9 + r )}{2}

\frac{r ^{2}}{2} + \frac{65 r}{2} + 252

Solution steps

\frac{( 56 + r ) ( 9 + r )}{2}

Expand

(56 + r) (9 + r) : 504 + 65 r + r^{2}

= \frac{504 + 65 r + r ^{2}}{2}

Apply the fraction rule:

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

\frac{504 + 65 r + r ^{2}}{2} = \frac{504}{2} + \frac{65 r}{2} + \frac{r ^{2}}{2}

= \frac{504}{2} + \frac{65 r}{2} + \frac{r ^{2}}{2}

Divide the numbers:

\frac{504}{2} = 252

= 252 + \frac{65 r}{2} + \frac{r ^{2}}{2}

Rewrite in standard form

= \frac{r ^{2}}{2} + \frac{65 r}{2} + 252

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What is expand ((56+r)\times (9+r))/2 ?
The solution to expand ((56+r)\times (9+r))/2 is (r^2)/2+(65r)/2+252