Final answer:
To simplify the expression 5x^5 - 5x^3 - 10x^2 - 80x + x + 2, combine like terms by adding or subtracting the coefficients of the same powers of x. The simplified expression is 5x^5 - 5x^3 - 10x^2 - 79x + 2.
Step-by-step explanation:
To simplify the expression 5x^5 - 5x^3 - 10x^2 - 80x + x + 2, we combine like terms by adding or subtracting the coefficients of the same powers of x.
First, let's combine like terms:
- The coefficient of x^5 is 5, so we have 5x^5
- The coefficient of x^3 is -5, so we have -5x^3
- The coefficient of x^2 is -10, so we have -10x^2
- The coefficient of x is 1, so we have x
- The constant term is 2, so we have 2
Combining all these terms, we get:
5x^5 - 5x^3 - 10x^2 - 80x + x + 2
= 5x^5 - 5x^3 - 10x^2 - 79x + 2