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\frac{121w^{2}-4}{121}
Factor out \frac{1}{121}.
\left(11w-2\right)\left(11w+2\right)
Consider 121w^{2}-4. Rewrite 121w^{2}-4 as \left(11w\right)^{2}-2^{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(11w-2\right)\left(11w+2\right)}{121}
Rewrite the complete factored expression.