\(\left(x^3-x^2\right)-4x^2+8x-4=0\)
\(\Leftrightarrow x^3-x^2-4x^2+8x-4=0\)
\(\Leftrightarrow x^3-x^2-4x^2+4x+4x-4=0\)
\(\Leftrightarrow\left(x^3-x^2\right)-\left(4x^2-4x\right)+\left(4x-4\right)=0\)
\(\Leftrightarrow x^2\left(x-1\right)-4x\left(x-1\right)+4\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x^2-4x-4\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-2\right)^2=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
Vậy......
\(\left(x^3-x^2\right)-ã^2+8x-4=0\)
\(< =>x^3-x^2-4x^2+8x-4\)
\(< =>x^2\left(x-1\right)-4\left(x-1\right)^2=0\)
\(< =>\left(x-1\right)\left(x^2-4x+4=0\right)\)
\(< =>\left(x-1\right)\left(x-2\right)^2=0< =>\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
