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\frac{2\left(81a^{2}-b^{2}\right)}{9}
Factor out \frac{2}{9}.
\left(9a-b\right)\left(9a+b\right)
Consider 81a^{2}-b^{2}. Rewrite 81a^{2}-b^{2} as \left(9a\right)^{2}-b^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
\frac{2\left(9a-b\right)\left(9a+b\right)}{9}
Rewrite the complete factored expression.