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Popular >

expand ((3n+4)^2)/9

Solution

expand

\frac{( 3 n + 4 ) ^{2}}{9}

Solution

n^{2} + \frac{8 n}{3} + \frac{16}{9}

Solution steps

\frac{( 3 n + 4 ) ^{2}}{9}

(3 n + 4)^{2} = 9 n^{2} + 24 n + 16

= \frac{9 n ^{2} + 24 n + 16}{9}

Apply the fraction rule:

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

\frac{9 n ^{2} + 24 n + 16}{9} = \frac{9 n ^{2}}{9} + \frac{24 n}{9} + \frac{16}{9}

= \frac{9 n ^{2}}{9} + \frac{24 n}{9} + \frac{16}{9}

Divide the numbers:

\frac{9}{9} = 1

= n^{2} + \frac{24 n}{9} + \frac{16}{9}

Cancel

\frac{24 n}{9} : \frac{8 n}{3}

= n^{2} + \frac{8 n}{3} + \frac{16}{9}

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Frequently Asked Questions (FAQ)

What is expand ((3n+4)^2)/9 ?
The solution to expand ((3n+4)^2)/9 is n^2+(8n)/3+16/9