What is expand ((12+h)^2)/9 ?

The solution to expand ((12+h)^2)/9 is (h^2)/9+(8h)/3+16

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expand ((12+h)^2)/9

expand

\frac{( 12 + h ) ^{2}}{9}

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

Solution steps

\frac{( 12 + h ) ^{2}}{9}

(12 + h)^{2} = 144 + 24 h + h^{2}

= \frac{144 + 24 h + h ^{2}}{9}

Apply the fraction rule:

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

\frac{144 + 24 h + h ^{2}}{9} = \frac{144}{9} + \frac{24 h}{9} + \frac{h ^{2}}{9}

= \frac{144}{9} + \frac{24 h}{9} + \frac{h ^{2}}{9}

Divide the numbers:

\frac{144}{9} = 16

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

Cancel

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

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

Rewrite in standard form

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

(x + y y^{'} (x))^{2}

- \frac{2 ( x - y )}{a}

(1 + c e^{t})^{2}

(2 + 6 x) x^{2} e^{x}

\frac{120 ( N - 2 )}{N}

What is expand ((12+h)^2)/9 ?
The solution to expand ((12+h)^2)/9 is (h^2)/9+(8h)/3+16