Final answer:
To simplify the expression 6x²+8x-2-9x², you need to combine like terms, specifically combining 6x² and -9x², which gives -3x². The simplified expression is -3x² + 8x - 2.
Step-by-step explanation:
The question asks us to combine like terms and simplify the polynomial expression 6x²+8x-2-9x². To combine like terms, we look for terms in the expression that have the same variable raised to the same power. In this case, 6x² and -9x² are like terms because they are both terms with the variable x raised to the power of 2. To combine them, we simply add or subtract their coefficients (the numbers in front of the terms). Here's how we simplify the expression:
6x² - 9x² + 8x - 2
We combine 6x² and -9x² to get:
(6 - 9)x² = -3x²
The terms 8x and -2 do not have like terms with them, so they remain as they are. The simplified form of the expression is:
-3x² + 8x - 2