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: (9×^3+2×^2-5×+4)-(5×^3-7×+4)

To simplify the given expression, we first need to combine like terms:

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

Combine like terms with the same exponent:

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

Combine all terms:

4x^3 + 2x^2 - 12x + 4

The simplified expression is:
4x^3 + 2x^2 - 12x + 4