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\frac{\left(a^{2}-49\right)\left(a+6\right)}{\left(a^{2}-36\right)\left(a-7\right)}
Multiply \frac{a^{2}-49}{a^{2}-36} times \frac{a+6}{a-7} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(a-7\right)\left(a+6\right)\left(a+7\right)}{\left(a-7\right)\left(a-6\right)\left(a+6\right)}
Factor the expressions that are not already factored.
\frac{a+7}{a-6}
Cancel out \left(a-7\right)\left(a+6\right) in both numerator and denominator.
\frac{\left(a^{2}-49\right)\left(a+6\right)}{\left(a^{2}-36\right)\left(a-7\right)}
Multiply \frac{a^{2}-49}{a^{2}-36} times \frac{a+6}{a-7} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(a-7\right)\left(a+6\right)\left(a+7\right)}{\left(a-7\right)\left(a-6\right)\left(a+6\right)}
Factor the expressions that are not already factored.
\frac{a+7}{a-6}
Cancel out \left(a-7\right)\left(a+6\right) in both numerator and denominator.