Final answer:
When adding -3p² - 2p - 7, 6p² + 8, and -15p - 38, we combine like terms to get the simplified expression 3p² - 17p - 37.
Step-by-step explanation:
To add the expressions together: -3p² - 2p - 7 ; 6p² + 8 ; -15p - 38, we combine like terms. Combine the terms for p², then for p, and finally the constant terms:
-
- For p²: -3p² + 6p² = 3p².
-
- For p: -2p - 15p = -17p.
-
- For constants: -7 + 8 - 38 = -37.
So, the resulting expression after combining like terms is 3p² - 17p - 37.
Always remember to check your final answer to ensure that all like terms have been combined properly and that the expression is simplified as much as possible.