If x=a+b+c 3 , then (x-a)^3+(x-b)^3+(x-c)^3 can be factorised as … - Vidyadip

MCQ

If $x=\frac{a+b+c}{3}$, then $(x-a)^3+(x-b)^3+(x-c)^3$ can be factorised as :

A
$(x-a)(x-b)(x-c)$
B
$\frac{(x-a)(x-b)(x-c)}{3}$
✓
$3(x-a)(x-b)(x-c)$
D
none of these

✓

Answer

Correct option: C.

$3(x-a)(x-b)(x-c)$

C

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