Pre Cal
posted by Angela .
simplify the quotient: [(x+1)^3(4x9)(16x+9)(x+1)^2]/[(x6)(x+1)^3]

= (x+1)^2[(x+1)(4x9)  (16x+9)]/[(x6)(x+1)^2]
expand the square bracket and factor the result...
= (x+1)^(4x+3)(x6)/(x6)(x+1)^2]
= (4x+3)/(x+1) , x ≠ 1, 6