Factorise : `(a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)`

Explanation

To factorize the expression \((a+b)^3 + (b+c)^3 + (c+a)^3 - 3(a+b)(b+c)(c+a)\), we can use a known algebraic identity.

### Step-by-Step Solution:

1. **Recognize the Identity**:
The expression can be simplified using the identity:
\[
A^3 + B^3 + C^3 - 3ABC = (A + B + C)(A^2 + B^2 + C^2 - AB - AC - BC)
...