What is expand ((a+b)^2)/3 ?

The solution to expand ((a+b)^2)/3 is (a^2)/3+(2ab)/3+(b^2)/3

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expand ((a+b)^2)/3

expand

\frac{( a + b ) ^{2}}{3}

\frac{a ^{2}}{3} + \frac{2 ab}{3} + \frac{b ^{2}}{3}

Solution steps

\frac{( a + b ) ^{2}}{3}

(a + b)^{2} = a^{2} + 2 ab + b^{2}

= \frac{a ^{2} + 2 ab + b ^{2}}{3}

Apply the fraction rule:

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

\frac{a ^{2} + 2 ab + b ^{2}}{3} = \frac{a ^{2}}{3} + \frac{2 ab}{3} + \frac{b ^{2}}{3}

= \frac{a ^{2}}{3} + \frac{2 ab}{3} + \frac{b ^{2}}{3}

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What is expand ((a+b)^2)/3 ?
The solution to expand ((a+b)^2)/3 is (a^2)/3+(2ab)/3+(b^2)/3