When term have the same algebraic factors, they are like terms. Then, we have to add the like terms = 4x^2y + (-3xy^2) + (-5xy^2) + 5x^2y = 4x^2y + 5x^2y–3xy^2–5xy^2 = x^2y (4 + 5) + xy^2(-3 - 5) = x^2y (9) + xy^2(- 8) = 9x^2y–8xy^2
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