$$(\frac{1}{2}c-\frac{2}{3}d)^{2}$$
$\frac{\left(3c-4d\right)^{2}}{36}$
$$\frac{1}{4}c^{2}-\frac{2}{3}cd+\frac{4}{9}d^{2}$$
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$-\frac{2cd}{3}+\frac{4d^{2}}{9}+\frac{c^{2}}{4}$
