Question

Factorise a plus b the whole cube + 3 b minus c whole cube plus c minus a whole cube

Answer 1

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

if a + b + c = 0 , then ( a - b )^3 + ( b - c )^3 + ( c - a )^3

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

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