Question

Simplify the expression 5x5−5x3−10x2−80x+x+2.

Answer 1

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