Final answer:
To subtract (-2x²-2x) from (12x²-12x), change the sign of the second polynomial and combine like terms resulting in the final answer of 14x² - 10x.
Step-by-step explanation:
To perform the indicated operation and subtract (-2x²-2x) from (12x²-12x), we need to change the sign of each term in the second polynomial and combine like terms with the first polynomial. Recall that subtracting a negative is the same as adding. The operation would look like this:
(12x² - 12x) - (-2x² - 2x) = (12x² - 12x) + (2x² + 2x)
Now, let's combine the like terms:
- 12x² + 2x² = 14x²
- -12x + 2x = -10x
So, our final answer is:
14x² - 10x