Question

Q9 Simplify and write your final answer in factored form.

(9r ^ 3 + 2r ^ 2 - 5r + 4) - (5r ^ 3 - 7r + 4)

Answer 1

First, combine like terms within each set of parentheses:

(9r^3 + 2r^2 - 5r + 4) - (5r^3 - 7r + 4)

= 9r^3 + 2r^2 - 5r + 4 - 5r^3 + 7r - 4

Next, combine like terms by adding or subtracting coefficients:

= (9r^3 - 5r^3) + 2r^2 + (-5r + 7r) + 4 + (-4)

= 4r^3 + 2r^2 + 2r

Therefore, the final answer in factored form is:

4r^3 + 2r^2 + 2r