If `a= x - y, b= y - z` and `c =z - x` then the value of `a^3+b^3+c^3`

If a = x+y , b = y+z , and c = z+x then show that a^3+b^3+c^3-3abc =2(x^3+y^3+z^3-3xyz)

If b+c = 2x, c+a =2y and a +b =2z then value of a^(3) +b^(3) +c^(3) is

If (x)/(b + c - a) = (y)/(c + a - b) = (z)/(a + b - c) , then value of x(b -c) + y(c -a) + z(a - b) is equal to