Sure! Here are the steps to solve this:
1. Both 5x³-2y³ and 7x³-3y³ are Polynomials and we are asked to add them.
2. To add these two polynomials, we simply need to perform the operation
(5x³-2y³) + (7x³-3y³)
3. When adding polynomials, we add the similar terms, which means terms having the same variable to the same power. For these polynomials, the similar terms are 5x³ & 7x³, and -2y³ & -3y³.
4. The addition of the terms 5x³ and 7x³ result in 12x³, because 5x³ + 7x³ = 12x³.
5. And, the addition of the terms -2y³ and -3y³ result in -5Y³, because -2y³ + -3y³ = -5y³.
6. Hence, the resulting polynomial is
(5x³-2y³) + (7x³-3y³) = 12x³ - 5y³.
So, when we add the given polynomials, we get 12x³ - 5y³.