What is expand ((x+y)^2)/3 ?

The solution to expand ((x+y)^2)/3 is (x^2)/3+(2xy)/3+(y^2)/3

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expand ((x+y)^2)/3

expand

\frac{( x + y ) ^{2}}{3}

\frac{x ^{2}}{3} + \frac{2 x y}{3} + \frac{y ^{2}}{3}

Solution steps

\frac{( x + y ) ^{2}}{3}

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

= \frac{x ^{2} + 2 x y + y ^{2}}{3}

Apply the fraction rule:

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

\frac{x ^{2} + 2 x y + y ^{2}}{3} = \frac{x ^{2}}{3} + \frac{2 x y}{3} + \frac{y ^{2}}{3}

= \frac{x ^{2}}{3} + \frac{2 x y}{3} + \frac{y ^{2}}{3}

\frac{x s ^{2} + 5 s + 7}{( s ^{2} + 2 ) ( s + 1 )}

\frac{6 ( 168 x ^{3} - 140 x ^{2} + 30 x - 1 )}{x ^{\frac{1}{2}}}

\frac{( 2 x + 1 ) ( 3 x - 1 )}{6}

\frac{( 4 x ^{4} + 1 ) ^{2}}{16 x ^{4}}

\frac{c}{( x + 2 ) ( x + 3 )}

What is expand ((x+y)^2)/3 ?
The solution to expand ((x+y)^2)/3 is (x^2)/3+(2xy)/3+(y^2)/3