If 3Y = x + 2Z, then x ^ 2 + 9y ^ 2 + 4Z ^ 2-6xy-12yz + 4XZ=

If 3Y = x + 2Z, then x ^ 2 + 9y ^ 2 + 4Z ^ 2-6xy-12yz + 4XZ=


(x-3y+2z)^2



Square of X + square of 9y + square of 4Z - 6xy + 4xz-12yz


Square of X + square of 9y + square of 4Z - 6xy + 4xz-12yz
=(x-3y+2z)²
Using: (a + B + C) & sup2; = A & sup2; + B & sup2; + C & sup2; + 2Ab + 2BC + 2ca to do the simplest,
The rest of the methods are artificial