Final answer:
To simplify the expression x²y + 2xy² + 3x²y - 6xy² + 4, combine the like terms by adding or subtracting the coefficients.
Step-by-step explanation:
To simplify the expression x²y + 2xy² + 3x²y - 6xy² + 4, you can combine like terms. Like terms have the same variables and exponents.
In this expression, the like terms are the ones that have the same variable (x and y).
So, add or subtract the coefficients of these like terms to get the simplified expression:
x²y + 3x²y - 6xy² + 2xy² + 4
Combine the coefficients of the like terms:
(1 + 3)x²y + (-6 + 2)xy² + 4
Final simplified expression is:
4x²y - 4xy² + 4