(m-1)*(n-1)*(n-m)

asked by guest
on Nov 15, 2024 at 11:12 am



You asked:

Evaluate the expression: \(\left(m - 1\right) \cdot \left(n - 1\right) \cdot \left(n - m\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(m - 1\right) \cdot \left(n - 1\right) \cdot \left(n - m\right) = \left(- m + n\right) \left(m - 1\right) \left(n - 1\right) \)

Expanded

\[\left(m - 1\right) \cdot \left(n - 1\right) \cdot \left(n - m\right) = - m^{2} n + m^{2} + n^{2} m - m - n^{2} + n\]

Factored

\[\left(m - 1\right) \cdot \left(n - 1\right) \cdot \left(n - m\right) = - \left(m - 1\right) \left(m - n\right) \left(n - 1\right)\]

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