Question

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


first answer= brainiest​

Answer 1

Step-by-step explanation:

(a - b)3 = a3 - 3a2b + 3ab2 - b3

(x^3 -3x^2y + 3xy^2 - y^3)+(y^3 -3y^2z + 3yz^2 - z^3)+(z^3 -3z^2x + 3zx^2 - x^3)

cancellening all cube values..

we have

-3x^2y + 3xy^2-3y^2z + 3yz^2-3z^2x + 3zx^2

3x^2(z-x)+3y^2(x-z)+3z^2(y-x)

3[x^2(z-x)+y^2(x-z)+z^2(y-x)]