Question

x^3( y-z)^3 + y^3(z-x)^3 + z^3(x-y)^3​

Answer 1

Step-by-step explanation:

Let a = x - y, b = y - z, c = z - x

Here, a + b + c = x - y + y - z + z - x = 0

Now if a + b + c = 0 then x3 + y3 + z3 = 3xyz

Hence,

(x - y)3 + (y - z)3 + (z - x)3 = 3(x - y) (y - z) (z - x).