Answer: 5x^3 + 4x^2 – (6x^2 – 2x – 9) =
5x^3 + 4x^2 – 6x^2 + 2x + 9 =
5x^3 – 2x^2 + 2x + 9
Step-by-step explanation: We have to find the difference (5x^3 + 4x^2) - (6x^2 - 2x - 9)
On distributing the minus over the parenthesis, we get
5x^3 + 4x^2 - 6x^2 + 2x + 9
Now, we group the like terms and combine them
5x^3 + (4x^2 - 6x^2) + 2x + 9
=5x^3-2x^2 + 2x +9
Therefore, the last expression is the correct option.
The difference of the polynomial is 5x^3-2x^2 + 2x +9
