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