Question

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

Answer 1

Answer:

(x-y)³+(y-z)³+(z-x) ³

=(x-y) (x²+y²-2xy)+(y-z) (y²+z²-2yz)

+(z-x) (z²+x²-2zx)

=x³+xy²-2x²y-x²y-y³+2xy²+y³+yz²-2y²z-zy²-z³+2yz²+z³+x²z

-2z²x-xz²-x³+2zx²

=3xy²-3x²y+3yz²-3y²z+3x²z-3xz²

=3xy(y-z) +3yz(z-y) +3xz(z-x)

Step-by-step explanation:

I hope it will help you.