(m^2-mn+n^2)(m^2+mn+n^2)

asked by guest
on Nov 28, 2024 at 4:46 am



You asked:

Evaluate the expression: \(\left({m}^{2} - m n + {n}^{2}\right) \cdot \left({m}^{2} + m n + {n}^{2}\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left({m}^{2} - m n + {n}^{2}\right) \cdot \left({m}^{2} + m n + {n}^{2}\right) = \left(m^{2} - m n + n^{2}\right) \left(m^{2} + m n + n^{2}\right) \)


Expanded

\[\left({m}^{2} - m n + {n}^{2}\right) \cdot \left({m}^{2} + m n + {n}^{2}\right) = m^{4} + m^{2} n^{2} + n^{4}\]