From $8 - y + {2 y}^{2}$ take away $(y^{2} - 7 - 2 y)$ .

y^{2} + y + 15

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5 y^{2} - 1

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3 y - 7 y^{2} + 11

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None of these

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Solution

The correct option is A $y^{2} + y + 15$
Here we have to just subtract $y^{2} - 7 - 2 y$ from $8 - y + 2 y^{2}$
$∴ (8 - y + {2 y}^{2}) - (y^{2} - 7 - 2 y) = 8 - y + {2 y}^{2} - y^{2} + 7 + 2 y$
$= (8 + 7) + (- y + 2 y) + ({2 y}^{2} - y^{2})$
$= 15 + y + y^{2}$
Hence, required value is $y^{2} + y + 15$ .

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