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Value of an Expression

If A = 2x2 - ...

Question

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