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\frac{225x^{2}-121}{144}
Factor out \frac{1}{144}.
\left(15x-11\right)\left(15x+11\right)
Consider 225x^{2}-121. Rewrite 225x^{2}-121 as \left(15x\right)^{2}-11^{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-11\right)\left(15x+11\right)}{144}
Rewrite the complete factored expression.