Final answer:
To simplify the expression, distribute the negative sign and then combine like terms.
Step-by-step explanation:
To simplify the given expression, we need to combine like terms. First, distribute the negative sign to the terms inside the parentheses:
(3x^5 + 3x^2 - 4x^3 + x - 6) - (x^3 + 4x^4 + 2x^2 - 10x)
Next, combine like terms:
3x^5 + 3x^2 - 4x^3 + x - 6 - x^3 - 4x^4 - 2x^2 + 10x
Combining like terms, we get:
3x^5 - 4x^4 - 5x^3 + x^2 + 11x - 6