Simplify within parentheses: We need to combine like terms in the expression (4xy−2xy)+(43xy−1xy). First, we simplify within the parentheses. (4xy−2xy) simplifies to 2xy because 4xy−2xy=2xy.
Simplify second set of parentheses: Now we simplify the second set of parentheses.(43xy−1xy) simplifies to 42xy because 43xy−1xy=42xy.
Add simplified results: Next, we add the results from the first and second simplifications. 2xy+42xy equals 44xy because 2xy+42xy=44xy.
Final simplified expression: There are no more like terms to combine, so the expression is fully simplified.The final simplified form of the expression is 44xy.
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