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

To subtract these polynomials, we need to combine like terms.

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

Distribute the negative sign to the 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

So, the simplified expression is 4x^3 + 2x^2 + 2x.