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Simplify (l + 2m + n)2 + (l - 2m + n)2 -

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Question

Simplify: (l + 2m + n)2 + (l - 2m + n)2.

Sum

Solution

(l + 2m + n)2 + (l - 2m + n)2

= l2 + 4m2 + n2 + 4lm + 4mn + 2ln + l2 + 4m2 + n2 - 4lm - 4mn + 2ln

= 2l2 + 8m2 + 2n2 + 4ln

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