Q9 Simplify and write your final answer in factored form.
(9r^3 + 2r^2 - 5r + 4) - (5r^3 - 7r + 4)
Show all your work
First, distribute the negative sign in front of the parentheses:
9r^3 + 2r^2 - 5r + 4 - 5r^3 + 7r - 4
Combine like terms:
4r^3 + 2r^2 + 2r
Factor out an r:
r(4r^2 + 2r + 2)
Final answer in factored form:
r(4r^2 + 2r + 2)