Question

simplify by removing factors of 1: 2p^2+10p+12/4p^2-4p-48

Answer 1

surely you must mean

(2p^2+10p+12)/(4p^2-4p-48)

= 2(p^2 + 5p + 6)/( 4(p^2 - p - 12) )
= 2(p+2)(p+3)/(4(p-4)(p+3) )
= (p+2)/(2(p-4)) , p ≠ -3,4