What is expand ((20a+7w)^2)/(25) ?

The solution to expand ((20a+7w)^2)/(25) is 16a^2+(56aw)/5+(49w^2)/(25)

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expand ((20a+7w)^2)/(25)

expand

\frac{( 20 a + 7 w ) ^{2}}{25}

16 a^{2} + \frac{56 a w}{5} + \frac{49 w ^{2}}{25}

Solution steps

\frac{( 20 a + 7 w ) ^{2}}{25}

(20 a + 7 w)^{2} = 400 a^{2} + 280 a w + 49 w^{2}

= \frac{400 a ^{2} + 280 a w + 49 w ^{2}}{25}

Apply the fraction rule:

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

\frac{400 a ^{2} + 280 a w + 49 w ^{2}}{25} = \frac{400 a ^{2}}{25} + \frac{280 a w}{25} + \frac{49 w ^{2}}{25}

= \frac{400 a ^{2}}{25} + \frac{280 a w}{25} + \frac{49 w ^{2}}{25}

Divide the numbers:

\frac{400}{25} = 16

= 16 a^{2} + \frac{280 a w}{25} + \frac{49 w ^{2}}{25}

Cancel

\frac{280 a w}{25} : \frac{56 a w}{5}

= 16 a^{2} + \frac{56 a w}{5} + \frac{49 w ^{2}}{25}

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What is expand ((20a+7w)^2)/(25) ?
The solution to expand ((20a+7w)^2)/(25) is 16a^2+(56aw)/5+(49w^2)/(25)