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)
To simplify the expression (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4), we need to distribute the negative sign to all terms within the parentheses of the second polynomial.
This gives us: 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
Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.