Symbiosis National Aptitude Test SNAP 2018 Paper

Question : 40 of 130

Marks: +1, -0

The expression

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

can be factorized as

Solution:

We know that if a + b + c = 0
then,

a^3 + b^3 + c^3

= 3abc
Here, a - b + b - c + c - a = 0
Hence,

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

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

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