\[4{a}^{2}-\frac{1}{9}{(b-c)}^{2}\]

1
Simplify  19(bc)2\frac{1}{9}{(b-c)}^{2}  to  (bc)29\frac{{(b-c)}^{2}}{9}.
4a2(bc)294{a}^{2}-\frac{{(b-c)}^{2}}{9}

Done

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