Question

Factorize (a+b-2c)^3 +(b+c-2a)^3+(a+c-2b)^3

Answer 1

( a + b -2c ) + (b + c -2a )+ ( c + a -2b) =0

so,
use a³ + b³ + c³ = 3abc
when a + b + c =0

now,
( a + b -2c )³ + ( b + c -2a)³ + ( c + a -2a)³ = 3(a + b -2c )(b + c -2a) (c + a -2b )

Answer 2

Answer:

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