Final answer:
To find the sum of the given polynomials, we combine like terms by adding the coefficients of the terms with the same variables and exponents.
Step-by-step explanation:
To find the sum of the polynomials, we simply combine like terms. The given polynomials are 2x² + 2y² and 2x² + 2y² - 8. When we add these polynomials, we can combine the terms with the same variables and exponents. In this case, the x² terms and y² terms are the same in both polynomials. Adding the coefficients of those terms, we get:
2x² + 2y²
+ 2x² + 2y² - 8
= (2 + 2)x² + (2 + 2)y² - 8
= 4x² + 4y² - 8
So, the sum of the given polynomials is 4x² + 4y² - 8.