Final answer:
To perform the addition of the polynomials (3x^2+xy-5y^2) and (2x^2-xy+3y^2), combine like terms to get the result, which is 5x^2 - 2y^2.
Step-by-step explanation:
The student's question asks for the result of performing the addition of two polynomials: (3x2+xy-5y2) + (2x2-xy+3y2). To find the answer, you combine like terms, which means adding coefficients of the same power of x and y.
First, add the coefficients of the x2 terms: 3x2 + 2x2 = 5x2.
Second, add the coefficients of the xy terms: xy - xy = 0xy (which equals 0 and can be omitted).
Finally, add the coefficients of the y2 terms: -5y2 + 3y2 = -2y2.
Combining all these, the result is: 5x2 - 2y2.