What should be added to $3 x y - 4 a^{2} + 5 b^{2} + 2$ to get $- 5 + 4 a^{2} + 2 b^{2} - 7 x y$ ?

8 a^{2} + 3 b^{2} - 11 x y + 10

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- 8 a^{2} + 3 b^{2} + 10 x y + 7

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- 8 a^{2} - 3 b^{2} + 10 x y + 7

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8 a^{2} - 3 b^{2} - 10 x y - 7

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Solution

The correct option is D $8 a^{2} - 3 b^{2} - 10 x y - 7$
Let the term to be added be 's' .
$3 x y - 4 a^{2} + 5 b^{2} + 2 + s = - 5 + 4 a^{2} + 2 b^{2} - 7 x y$
$\Rightarrow s = (- 5 + 4 a^{2} + 2 b^{2} - 7 x y) - (3 x y - 4 a^{2} + 5 b^{2} + 2)$
Rearranging the terms and subtracting,
$4 a^{2} + 2 b^{2} - 7 x y - 5$
$- 4 a^{2} + 5 b^{2} + 3 x y + 2$
(+) (-) (-) (-)
___________________
$8 a^{2} - 3 b^{2} - 10 x y - 7$

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Similar questions

How much should $3 x y - 4 a^{2} + 5 b^{2} + 2$ be increased to get $- 5 + 4 a^{2} + 2 b^{2} - 7 x y$ ?

6 a^{2} - 3 b^{2} + 2 a^{2} + 5 b^{2} - 4 a^{2}

6 x^{2} - 3 x y + 4 y^{2}

2 y^{2} + x y - 4 x^{2}

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