If `x^2+y^2+z^2=2(x-y-z)-3` Find the value of `2x-3y+4z`

If x^2 + y^2 + z^2 =2 (x-y-z) - 3, then the value of 2x - 3y + 4z is [Assume that x, y, z are all real numbers] :

If x = 2, y = 3 and z = -1, find the values of : (2x-3y+4z)/(3x-z)

If x + y + z = 6 and x^2 + y^2 + z^2= 20 then the value of x^3 + y^3 + z^3 - 3xyz is

If x:y=2:3 , y:z=3:4 , z:k=1:2 , find the value of x:y:z:k

If A=[(x,y,z),(y,z,x),(z,x,y)] and A^3=I_3 and xyz=2 and x+y+z gt 0 find the value of x^3+y^3+z^3 is

If x = 1, y = 2, z = 5 , then find the value of 3x – 2y + 4z.

If x = 1, y = - 2 and z = 3. find the value of (i) x^(3) + y^(3) + z^3-3xyz (ii) 3xy^(4) - 15 x^(2) y + 4z