Note: Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form.
Simplify: (9x^3+2x^2-5x+4)-(5x^3-7x+4)
To simplify: (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4)
First, distribute the negative sign to all terms inside the parentheses after it:
= 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)