Question

(a-b)^(3)+(b-c)^(3)+(c-a)^(3)=3(a-b)(b-c)(c-a)

Answer 1

The given expression to be factorized is



Let, and. Then the given expression becomes 

Note that 



Recall the formula

When, this becomes 





So, we have the new formula

, when.

Using the above formula, the given expression can be written as



Put, and. Then we have



We cannot further factorize the expression. 

So, the required factorization is ofis.

Answer 2

hope this will help you.......