1. **State the problem:** Simplify the expression $6x^2y + 5xy^2 - x^2y + 3xy^2$. 2. **Group like terms:** Group terms with $x^2y$ and terms with $xy^2$ separately: $$6x^2y - x^2y + 5xy^2 + 3xy^2$$ 3. **Combine like terms:** - For $x^2y$: $$6x^2y - x^2y = (6 - 1)x^2y = 5x^2y$$ - For $xy^2$: $$5xy^2 + 3xy^2 = (5 + 3)xy^2 = 8xy^2$$ 4. **Write the simplified expression:** $$5x^2y + 8xy^2$$ This is the simplified form of the original expression.