Given - 3Y = x + 2Z, find the value of X & sup2; - 9y & sup2; + 4Z & sup2; + 4XZ

Given - 3Y = x + 2Z, find the value of X & sup2; - 9y & sup2; + 4Z & sup2; + 4XZ

x^2-9y^2+4z^2+4xz
=x^2+4z^2+4xz-9y^2
=(x+2z)^2-9y^2
Because x + 2Z = - 3Y
So the original formula = (- 3Y) ^ 2-9y ^ 2
=9y^2-9y^2
=0