Answer:
-2 - 4n - 8n²
Step-by-step explanation:
To add these two polynomials together, we simply combine like terms together. If their exponents match, we add them together. If they are constants (meaning no variables are in their term), we add them together.
The best way to organize the equations in order to combine like terms is to separate similar terms, add them in groups, and then combine the consolidated terms into a single equation as the answer.
(-4 + n - 2n²) + (2 - 5n - 6n²)
= -4 + 2 + n - 5n - 2n² - 6n²
-4 + 2 = -2
n - 5n = -4n
-2n² - 6n² = - 8n²
Place them back into a single equation:
-2 - 4n - 8n²
This is the simplified expression.