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If you would like to know the difference of the polynomials, you can do this using the following steps:

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

The correct result would be 4x^3 - 2x^2 + 2x + 9.

Answer:

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

Step-by-step explanation:

(5x^3+4x^2) – (6x^2 – 2x – 9)

To simplify the polynomials we need to subtract

WE have negative sign in between so we multiply the second parenthesis by -1

5x^3+4x^2 – 6x^2 +2x +9

Now we combine like terms

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

so the polynomial becomes

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

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