Question

if a=x-y b=y-z ,zc= z-x then find a^3+b^3+c^3​

Answer 1

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

a³+b³+c³=3abc+(a+b+c)(a²+b²+c²-ab-bc-ca)

a³+b³+c³=3abc+0×(....)

=3abc

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