Answer:To simplify the expressions 6xy+3x, -2xy-4y, and 7xy-2x+5y, we can combine like terms.
For 6xy+3x, we have two terms: 6xy and 3x. Since they have the same variables (xy), we can add their coefficients (the numbers in front) together. So, 6xy + 3x equals 6xy + 3x = (6 + 3)xy = 9xy.
For -2xy-4y, we also have two terms: -2xy and -4y. Again, they have the same variable (xy), so we add their coefficients together. -2xy - 4y equals (-2 - 4)xy = -6xy.
Lastly, for 7xy-2x+5y, we have three terms: 7xy, -2x, and 5y. Since none of these terms have the same variables, we cannot combine them any further. So, 7xy - 2x + 5y remains as it is.
To summarize:
6xy+3x simplifies to 9xy.
-2xy-4y simplifies to -6xy.
7xy-2x+5y cannot be simplified further.
I hope this explanation helps you understand how to simplify expressions with like terms.
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