Розкладіть на множники вираз: (х-у)²-z²-4х²+4ху+4xz

a^2-b^2=(a-b)(a+b) (x-y)^2-z^2=(x-y-z)(x-y+z) -4x^2+4xy+4xz=-4x(x-y-z) (x-y-z)(x-y+z-4x)=(x-y-z)(z-y-3x)

[latex](x-y)^2-(z-2x)^2+4xy=x^2-2xy+y^2+4xy-(z-2x)^2=\\ =(x+y)^2-(z-2x)^2=(x+y-z+2x)(x+y+z-2x)=\\ =(3x+y-z)(y+z-x)[/latex]