Question

factorise (i) (a-b)^3+(b-c)^3+(c-a)^3​

Answer 1

Let

(a-b)=a,(b-c)=b and(c-a)=c

we know that

if a+b+c=0 then a^3+b^3+c^3=3abc

a+b+c

putting value of a,b,c

a-b+b-c+c-a=0

so,the value of (a-b)^3+(b-c)^3+(c-a)^3=

3(a-b)(b-c)(c-a)