Question

Find the value of
(x-y)^3 + (y-z)^3 +(z-x)^3​

Answer 1

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

= (x-y+y-z)( (x-y)^2 - (x-y)(y-z) + (y-z)^2 ) + (z-x)^3 .......[ formula a^3+b^3 = (a+b)(a^2-ab+b^2) ]

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

= (z-x) [ -2zx - 2y^2 + 2xy + 2yz + (x-y)(y-z) ]

= (z-x) [ 2x(y-z) - 2y(y-z) + (x-y)(y-z) ]

= (z-x) [ 2(x-y)(y-z) + (x-y)(y-z) ]

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

Answer 2

Answer:

answer is in picture

Step-by-step explanation:

hope this helps you