Simplify : $2 (x^{2} + y - 3) + 7 (x^{2} - y + 2) - 3 (y - 3 x^{2} - 1)$

18 x^{2} - y + 1

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12 x^{2} - 8 y + 11

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18 x^{2} - 8 y + 11

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12 x^{2} - y + 1

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Solution

The correct option is C $18 x^{2} - 8 y + 11$
$2 (x^{2} + y - 3) + 7 (x^{2} - y + 2) - 3 (y - 3 x^{2} - 1)$
$= 2 x^{2} + 2 y - 6 + 7 x^{2} - 7 y + 14 - 3 y + 9 x^{2} + 3$
$= 18 x^{2} - 8 y + 11$

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