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

b

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b^{2}

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a^{2}

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2 a b

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Solution

The correct option is B $b^{2}$
We know that $(a + b)^{2} = (a^{2} + 2 a b + b^{2})$

Here, $(a + b)^{2}$ is a perfect square.

Therefore, to make $(a^{2} + 2 a b)$ a perfect square, $b^{2}$ is to be added.

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