\(\left(x-1\right)^4-\left(x-1\right)^3=0< =>\left(x-1\right)^3\left(x-2\right)=0< =>\left[{}\begin{matrix}\left(x-1\right)^3=0\\x-2=0\end{matrix}\right.< =>\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
=>(x-1)^3*(x-1-1)=0
=>(x-1)^3*(x-2)=0
=>x=2 hoặc x=1