$If A = 2 x^{2} - y + 3 xy, B = x^{2} + 2 xy and C = 3 y + 2 xy, find A - B + C .$

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Solution

$A - B + C \Rightarrow A - B + C = (2 x^{2} - y + 3 xy) - (x^{2} + 2 xy) + (3 y + 2 xy) \Rightarrow A - B + C = (2 - 1) x^{2} + (3 - 2 + 2) xy - y \Rightarrow A - B + C = x^{2} + 3 xy - y$

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