It is known that X-Y = 5, Z-Y = 10, x ^ 2 + y ^ 2 + Z ^ 2-xy-yz-zx

It is known that X-Y = 5, Z-Y = 10, x ^ 2 + y ^ 2 + Z ^ 2-xy-yz-zx

X-Y = 5, Z-Y = 10 minus z-x = 5x & sup2; + Y & sup2; + Z & sup2; - xy-yz-xz = (2x & sup2; + 2Y & sup2; + 2Z & sup2; - 2xy-2yz-2xz) / 2 = [(X & sup2; - 2XY + Y & sup2;) + (Y & sup2; - 2yz + Z & sup2;) + (Z & sup2; - 2XZ + X & sup2;)] / 2 = [(X-Y) & sup2; + (Y-Z) & sup2; + (z-x) & su