Question

Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30.

Simplify [X · Y - Z] ÷ X.

Answer 1

well if you look at Z it can be factored to

(r + 2)(r + 15)

so

\[[X.Y - Z]\div X = [(r + 2)(2r - 9) - (r +2)(r + 15)] \div (r + 2)\]

remove the common factor and simplify