Răspuns:
4x(x²-6x+9)=4x(x²-3x-3x+9)=4x(x(x-3)-3(x-3))
=4x × (x-3)²
[tex]\displaystyle\bf\\Se~da:~~~4x^3-24x^2+36x\\\\Se~cere:~~~descompunerea~expresiei\\\\Rezolvare:\\\\4x^3-24x^2+36x=~~~~dam~factor~comun~pe~4~si~pe~x.\\\\=4x\Big(x^2-6x+9\Big)=\\\\=4x\Big(x^2+2\cdot x\cdot(-3)+(-3)^2\Big)=\\\\=\boxed{\bf4x\Big(x-3\Big)^2}[/tex]
