Q. 113.6( 18 Votes )

If 3x=a+b+c, then the value of (x-a)3+(x-b)3+(x-c)3-3(x-a)(x-b)(x-c) is
A. a+b+c

B. (a-b)(b-c)(c-a)

D. 0

D. none of these

Answer :

We have,


= 3x = a+b+c


Let


So,


= [ a +b + c = 3x ] given


=


Now,

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