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a\left(x^{2}-6xy+9y^{2}\right)
Factor out a.
\left(x-3y\right)^{2}
Consider x^{2}-6xy+9y^{2}. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=x and q=3y.
a\left(x-3y\right)^{2}
Rewrite the complete factored expression.