\(a)\text{ }a^3-a^2c+a^2b-abc=a^2(a-c)+ab(a-c)\\ =(a^2+ab)(a-c)=a(a+b)(a-c)\\ b)\text{ }(x^2+1)^2-4x^2=(x^2+1)-(2x)^2\\ =(x^2+2x+1)(x^2-2x+1)=(x+1)^2(x-1)^2\)
Bài 2:
b: Ta có: \(x^2-4x+4=9\left(x-2\right)\)
\(\Leftrightarrow\left(x-2\right)\left(x-11\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=11\end{matrix}\right.\)