# Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 37

$3x^{2}-3xy+6y^{2}$

#### Work Step by Step

We are asked to add the polynomials $(x^{2}+xy-y^{2})$ and $(2x^{2}-4xy+7y^{2})$. This is equivalent to $(x^{2}+xy-y^{2})+(2x^{2}-4xy+7y^{2})$. We can combine like terms to add these polynomials together. $(x^{2}+2x^{2})+(xy-4xy)+(-y^{2}+7y^{2})=3x^{2}-3xy+6y^{2}$

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