must 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, $b^{2}$ must be added,
since $(a^{2} + 2 a b + b^{2})$ = $(a + b)^{2}$ which is a perfect square.

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