Question

Factorise:

(a+b+c)-(a^3+b^3+c^3)​

Answer 1

(a - b)3 + (b - c)3 + (c - a)3 = ( a3 - 3a2b + 3ab2 - b3) + (b3 - 3b2c + 3bc2 - c3 ) + (c3 - 3c2a + 3ca2 - a3) = - 3a2b + 3ab2