$${ \left( \frac{ 1 }{ 2 } x+ \frac{ 2 }{ 3 } y \right) }^{ 2 }$$
$\frac{\left(3x+4y\right)^{2}}{36}$
$$\frac{1}{4}x^{2}+\frac{2}{3}xy+\frac{4}{9}y^{2}$$
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$\frac{2xy}{3}+\frac{4y^{2}}{9}+\frac{x^{2}}{4}$