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

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