Question

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

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Answer 1

Step-by-step explanation:

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

(a-b)=x , (b-c)=y , (c-a)=z

x+y+z 0

x^3+y^3+z^3=3xyz

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

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

=3