Question

factorise :- (a - b) cube +. (b - c) cube + (c - a)cube​

Answer 1

ANSWER

(a−b)^ 3 +(b−c)^3 +(c−a)^3

=(a^3 −3a^ b+3ab^2 −b^3 )+(b^3 −3b^2c+3bc^2−c^3 )+(c^3 −3c^ a+3ca^ −a^3)

=−3a^2 b+3ab^2 −3b^2 c+3bc^2 −3c^2a+3ca^2

=3a^2 (c−b)+3b^2 (a−c)+3c^2 (b−a)

HOPE IT WILL HELP YOU!

SAYONARA