n^(2)+y^(2)+2(ny-yz-zx)

(x-y-z)^(2)-(x^(2)+y^(2)+z^(2))=2(yz-zx-xy)

If ax+cy+bz=X, cx+by+az=Y, bx+ay+cz=Z, show that (a^(2)+b^(2)+c^(2)-bc-ca-ab)(x^(2)+y^(2)+z^(2)-yz-zx-xy)=X^(2)+Y^(2)+Z^(2)-YZ-ZX-XY

Factorise : x^(2)+y^(2)+z^(2)-xy-yz-zx

If x=997 , y=998 z=999 then the value of x^(2)+y^(2)+z^(2)-xy-yz-zx will be

Prove that x^(2)+y^(2)+z^(2)-xy-yz-zx is always positive.

Multiply the following: x^(2)+y^(2)+z^(2) and xy-yz+zx+3

x+y-z=5 and x^(2)+y^(2)+z^(2)=29, find xy-yz-zx

Verify that: (x+y+z)^(2)=x^(2)+y^(2)+z^(2)+2xy+2yz+2zx