Question

How do you simplify `((a-2)^2(a-5)^3)/((a-2)^3(a-5))`?

Answer 1

`=(a-5)^2/(a-2)`

Explanation:

`((a-2)^cancel(2) (a-5)^cancel(3))/((a-2)^cancel(3) (cancel(a-5))`
`=(a-2)^-1(a-5)^2`
`=(a-5)^2/(a-2)`