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

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$4 x 2 − 3 x + 3 y 2$

$y 2 + 3 x − 2 x 2$

$y 2 + 3 x + 2 x 2$

$3 y 2 + 3 x − 4 x 2$

answer is C.

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Detailed Solution

$A = 2 y 2 + 3 x − x 2, B = 3 x 2 − y 2$

$A − B = 2 y 2 + 3 x − x 2 − 3 x 2 − y 2$

$= 2 y 2 + 3 x − x 2 − 3 x 2 + y 2$

$= 3 y 2 + 3 x − 4 x 2$

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