Final answer:
To find the sum, combine the like terms in the expression. The sum is 5x³ + 13x² - 3x + 10.
Step-by-step explanation:
To find the sum of the given expression, we need to combine like terms. First, let's combine the x terms:
(x+10x² - 6x² - 5x) + (-9x² + 5x³ + 9x² + x + 10) = x + 10x² - 6x² - 5x - 9x² + 5x³ + 9x² + x + 10.
Now, let's rearrange the terms:
= (x + x) + (10x² - 6x² + 9x²) + (-5x + 5x³ + 10).
= 2x + (10x² - 6x² + 9x²) + (-5x + 5x³ + 10).
Finally, let's simplify each set of like terms:
= 2x + (13x²) + (5x³) + (-5x + 10).
So, the sum of the given expression is 5x³ + 13x² - 3x + 10.
Learn more about Combining like terms in an algebraic expression