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: (9x^3+2x^2−5x+4)−(5x^3−7x+4)

Answer 1

First, let's distribute the negative sign to all terms inside the parentheses:

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

Now, combine like terms:

9x^3 - 5x^3 + 2x^2 - 5x + 7x + 4 - 4

4x^3 + 2x^2 + 2x

Therefore, (9x^3+2x^2−5x+4)−(5x^3−7x+4) simplifies to:

4x^3 + 2x^2 + 2x