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\frac{\left(a^{2}-6^{2}\right)\times 6}{6\left(a^{2}+ab\right)}
Divide \frac{a^{2}-6^{2}}{6} by \frac{a^{2}+ab}{6} by multiplying \frac{a^{2}-6^{2}}{6} by the reciprocal of \frac{a^{2}+ab}{6}.
\frac{a^{2}-6^{2}}{a^{2}+ab}
Cancel out 6 in both numerator and denominator.
\frac{a^{2}-36}{a^{2}+ab}
Calculate 6 to the power of 2 and get 36.
\frac{\left(a^{2}-6^{2}\right)\times 6}{6\left(a^{2}+ab\right)}
Divide \frac{a^{2}-6^{2}}{6} by \frac{a^{2}+ab}{6} by multiplying \frac{a^{2}-6^{2}}{6} by the reciprocal of \frac{a^{2}+ab}{6}.
\frac{a^{2}-6^{2}}{a^{2}+ab}
Cancel out 6 in both numerator and denominator.
\frac{a^{2}-36}{a^{2}+ab}
Calculate 6 to the power of 2 and get 36.