Question

The expression (a - b)³ + (b - c)³ + (c - a)³ can be factorized as:

A. (a - b)(b - c)(c - a) 

B. 3(a - b)(b - c)(c - a) 

C. -3(a - b)(b - c)(c - a) 

D. (a + b + c)(a² + b² + c² - ab - bc - ca)

Answer 1

We have,

Let \(\text{x}=(a-b),\text{y}=(b-c),\text{z}(c-a)\)

So,

\(\text{x}+\text{y}+\text{z}=a-b+b-c+c-a\)

If a + b + c = 0 , 

then,