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Question
Simplify : (m2 − n2m)2 + 2m3n2
Solution
To simplify, we will proceed as follows:
\[ \left( m^2 - n^2 m \right)^2 + 2 m^3 n^2 \]
\[ = \left( m^2 \right)^2 + \left( n^2 m \right)^2 \left[ \because \left( a - b \right)^2 + 2ab = a^2 + b^2 \right]\]
\[ = m^4 + n^4 m^2 \]
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