What term should be substracted to $a^{2} + 2 a b$ to make it a perfect square?

$b$

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$+ 4 a b - b^{2}$

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$- 4 a b + b^{2}$

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$2 a b$

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Solution

The correct option is B
$+ 4 a b - b^{2}$

To make $(a^{2} + 2 a b)$ a perfect square, $+ 4 a b - b^{2}$ is to be added.
So that $(a^{2} + 2 a b + b^{2})$ will be come a perfect square using the identity $(a - b)^{2} = (a^{2} - 2 a b + b^{2})$ .

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