What is the difference of the polynomials?

(5 х^3 + 4x^2) - (6x^2 - 2x - 9)

5x^3 - 2x^2 + 2x + 9

How to Solve:

You would start by removing the parentheses and then combine like terms. The only like terms in the polynomials are 4x^2 and 6x^2, so those are the ones we will combine to get a new, simplified version of the polynomials.

5x^3 + (4x^2 - 6x^2) - 2x - 9

4x^2 - 6x^2 = - 2x^2

With our simplified like terms, it would now be ...

5x^3 - 2x^2 + 2x + 9

This is the answer because there is no more ways to simplify it and there are no more like terms.