Add $l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2}, 2 l m + 2 m n + 2 n l$

(l^{2} + m^{2} + n^{2} + l m + m n + n l)

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2 (l^{2} + m^{2} + n^{2} - l m - m n - n l)

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(l^{2} + m^{2} + n^{2} - l m - m n - n l)

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2 (l^{2} + m^{2} + n^{2} + l m + m n + n l)

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Solution

The correct option is B $2 (l^{2} + m^{2} + n^{2} + l m + m n + n l)$
$l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2}, 2 l m + 2 m n + 2 n l$
Adding we get,
$l^{2} + m^{2} + m^{2} + n^{2} + n^{2} + l^{2} + 2 l m + 2 m n + 2 n l$
$= 2 l^{2} + 2 m^{2} + 2 n^{2} + 2 l m + 2 m n + 2 n l$
$= 2 (l^{2} + m^{2} + n^{2} + l m + m n + n l)$

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