Представить в виде многочлена (2x-5y+z)^2-(x+3y-z)^2

[latex](2x-5y+z)^2-(x+3y-z)^2=[/latex] [latex]=[(2x-5y+z)-(x+3y-z)]*[(2x-5y+z)+(x+3y-z)]=[/latex] [latex]=[2x-5y+z-x-3y+z]*[2x-5y+z+x+3y-z]=[/latex] [latex]=[2x-x-5y-3y+z+z]*[2x+x-5y+3y+z-z]=[/latex] [latex]=(x-8y+2z)(3x-2y)=[/latex] [latex]=(x)*(3x)+(x)*(-2y)+(-8y)*(3x)+(-8y)*(-2y)+[/latex] [latex]+(2z)*(3x)+(2z)*(-2y)=[/latex] [latex]=(+3x^2)+(-2xy)+(-24xy)+(+16y^2)+(+6xz)+(-4yz)=[/latex] [latex]=3x^2-2xy-24xy+16y^2+6xz-4yz=[/latex] [latex]=3x^2+16y^2-26xy+6xz-4yz[/latex]