$\left(x-m\right)^{4}-\left(x\right)^{4}$
You asked:
Evaluate the expression: \({\left( x - m \right)}^{4} - {x}^{4}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( x - m \right)}^{4} - {x}^{4} = - x^{4} + \left(- m + x\right)^{4} \)
Expanded
\[{\left( x - m \right)}^{4} - {x}^{4} = m^{4} - 4 m^{3} x + 6 m^{2} x^{2} - 4 x^{3} m\]
Factored
\[{\left( x - m \right)}^{4} - {x}^{4} = m \left(m - 2 x\right) \left(m^{2} - 2 m x + 2 x^{2}\right)\]