Question

How do you simplify `(p^2 + 2p - 80)/(2p^3 - 24p^2 + 64p)` and what are the restrictions?

Answer 1

`(p^2+2p-80)/(2p^3-24p^2+64p)`

`=((p+10)(p-8))/(2p(p^2-12p+32))`

`=((p+10)(p-8))/(2p(p-4)(p-8))`

`=(p+10)/(2p(p-4))`

with the restrictions: `p != 0`, `p != 4` and `p != 8`.