Note: Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form in the space provided. Simplify: (9x3+2x2−5x+4)−(5x3−7x+4) ( 9 3 + 2 2 - 5 + 4 ) - ( 5 3 - 7 + 4 ) (3 points)
(9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4)
Reformat to combine like terms:
9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4
Combine like terms:
(9x^3 - 5x^3) + 2x^2 - 5x + 7x + 4 - 4
4x^3 + 2x^2 + 2x
Final answer in factored form: 2x(2x^2 + x + 1)