QuestionSimplify the expression: $\frac{1-5 a^{-1}-24 a^{-2}}{1-15 a^{-1}+56 a^{-2}}$.

Studdy Solution
The term $(a-8)$ appears in both the numerator and denominator, so we can cancel it out.
$$\frac{(a-8)(a+3)}{(a-8)(a-7)} = \frac{a+3}{a-7}$$This is the simplified form of the expression, assuming $a \neq8$ and $a \neq7$ to avoid division by zero.