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\frac{225a^{2}-30abc+b^{2}c^{2}}{9}
Factor out \frac{1}{9}.
\left(15a-bc\right)^{2}
Consider 225a^{2}-30abc+b^{2}c^{2}. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=15a and q=bc.
\frac{\left(15a-bc\right)^{2}}{9}
Rewrite the complete factored expression.