What is expand ((m+145)^2)/(40) ?

The solution to expand ((m+145)^2)/(40) is (m^2}{40}+\frac{29m)/4+4205/8

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expand ((m+145)^2)/(40)

expand

\frac{( m + 145 ) ^{2}}{40}

\frac{m ^{2}}{40} + \frac{29 m}{4} + \frac{4205}{8}

Solution steps

\frac{( m + 145 ) ^{2}}{40}

(m + 145)^{2} = m^{2} + 290 m + 21025

= \frac{m ^{2} + 290 m + 21025}{40}

Apply the fraction rule:

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

\frac{m ^{2} + 290 m + 21025}{40} = \frac{m ^{2}}{40} + \frac{290 m}{40} + \frac{21025}{40}

= \frac{m ^{2}}{40} + \frac{290 m}{40} + \frac{21025}{40}

Cancel

\frac{290 m}{40} : \frac{29 m}{4}

= \frac{m ^{2}}{40} + \frac{29 m}{4} + \frac{21025}{40}

Cancel

\frac{21025}{40} : \frac{4205}{8}

= \frac{m ^{2}}{40} + \frac{29 m}{4} + \frac{4205}{8}

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What is expand ((m+145)^2)/(40) ?
The solution to expand ((m+145)^2)/(40) is (m^2}{40}+\frac{29m)/4+4205/8