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Question
Find the arithmetic mean of (m + n)2 and (m – n)2.
Sum
Solution
Arithmetic mean of (m + n)2 and (m – n)2
= `((m + n)^2 + (m - n)^2)/2`
= `(m^2 + n^2 + 2mn + m^2 + n^2 - 2mn)/2`
=`(2(m^2 + n^2))/2`
= m2 + n2
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Arithmetic mean
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