The expression $(m + n)^{2}$ would be equal to?

2 m^{2} + 2 m n + n^{2}

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m^{2} + 2 m n + n^{2}

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m^{2} + 2 m n + n^{2}

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m^{2} + 2 m n + 2 n^{2}

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Solution

The correct option is B $m^{2} + 2 m n + n^{2}$
$(m + n)^{2} = (m + n) \times (m + n)$
$= (m + n) \times m + (m + n) \times n$
$= (m^{2} + m n) + (m n + n^{2})$
$= m^{2} + 2 m n + n^{2}$

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