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\frac{225x^{2}-4y^{2}}{36}
Factor out \frac{1}{36}.
\left(15x-2y\right)\left(15x+2y\right)
Consider 225x^{2}-4y^{2}. Rewrite 225x^{2}-4y^{2} as \left(15x\right)^{2}-\left(2y\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(15x-2y\right)\left(15x+2y\right)}{36}
Rewrite the complete factored expression.