Question

Simplify

a^2-a-6/ a^2-8a+7 • a+7/ a-3

Answer 1

`\cfrac{a^2-a-6}{a^2-8a+7}\cdot \cfrac{a+7}{a-3}\implies \cfrac{~~\begin{matrix} (a-3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(a+2)}{(a-7)(a-1)}\cdot \cfrac{a+7}{~~\begin{matrix} a-3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{(a+2)(a+7)}{(a-7)(a-1)}`