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\frac{25y^{2}-144x^{2}}{225}
Factor out \frac{1}{225}.
\left(5y-12x\right)\left(5y+12x\right)
Consider 25y^{2}-144x^{2}. Rewrite 25y^{2}-144x^{2} as \left(5y\right)^{2}-\left(12x\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-12x+5y\right)\left(12x+5y\right)
Reorder the terms.
\frac{\left(-12x+5y\right)\left(12x+5y\right)}{225}
Rewrite the complete factored expression.