Question

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

Answer 1

Answer:

3a²(c−b)+3b²(a−c)+3c²(b−a)

Step-by-step explanation:

(a−b)³+(b−c)³+(c−a)³

=(a³−3a²b+3ab²−b³)+(b³−3b²c+3bc²−c3³+(c³−3c²a+3ca²−a³)

=−3a²b+3ab²−3b²c+3bc²−3c²a+3ca²

=3a²(c−b)+3b²(a−c)+3c²(b−a)