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

$b^{2}$

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$a^{2}$

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$2 a b$

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$b$

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Solution

The correct option is A
$b^{2}$

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

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