Question

Simplify :  (m² − n²m)² + 2m³n²

Answer 1

To simplify, we will proceed as follows:

\[ \left( m^2 - n^2 m \right)^2 + 2 m^3 n^2 \]

\[ = \left( m^2 \right)^2 + \left( n^2 m \right)^2 \left[ \because \left( a - b \right)^2 + 2ab = a^2 + b^2 \right]\]

\[ = m^4 + n^4 m^2 \]