Question

Find the sum of the expression a - b, b - c and c - a​

Answer 1

Sum of a−b+ab ,  b+c−bc and c−a−ac

=(a−b+ab)+(b−c−bc)+(c−a−ac)

=a−b+ab+b+c−bc+c−a−ac

Rearranging and collecting like terms,

=a−a−b+b+c+c+ab−bc−ac

=2c+ab−ac−bc

Answer 2

(a-b)+(b-c) +(c-a)

a-b+b-c+c-a

=0