Đáp án:
`=>`\(\left[ \begin{array}{l}x=1\\x=2\end{array} \right.\)
Giải thích các bước giải:
`( x - 1 ) ^3 = ( x - 1 ) ^2`
`=>(x-1)^3 - (x-1)^2=0`
`=>(x-1)^2 . (x-1) - (x-1)^2 . 1=0`
`=>(x-1)^2 .[(x-1)-1]=0`
`=>`\(\left[ \begin{array}{l}(x-1)^2=0\\(x-1)-1=0\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}(x-1)^2=0^2\\x-1=0+1\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x-1=0\\x-1=1\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=0+1\\x=1+1\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=1\\x=2\end{array} \right.\)