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\frac{x^{2}-225y^{2}}{9}
Factor out \frac{1}{9}.
\left(x-15y\right)\left(x+15y\right)
Consider x^{2}-225y^{2}. Rewrite x^{2}-225y^{2} as x^{2}-\left(15y\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(x-15y\right)\left(x+15y\right)}{9}
Rewrite the complete factored expression.