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2\left(64am^{2}-121an^{2}\right)
Factor out 2.
a\left(64m^{2}-121n^{2}\right)
Consider 64am^{2}-121an^{2}. Factor out a.
\left(8m-11n\right)\left(8m+11n\right)
Consider 64m^{2}-121n^{2}. Rewrite 64m^{2}-121n^{2} as \left(8m\right)^{2}-\left(11n\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
2a\left(8m-11n\right)\left(8m+11n\right)
Rewrite the complete factored expression.