Question

The value of (x - a) + (x - b)3 + (x - c)
--3(x - a)(x - 5)(x-C), when a + b + c = 3x
is
(A) 3 (B) 2 (C) 1 (D) 0
​

Answer 1

Answer:

c) 1 is your answer...

hope this helps...

Answer 2

ANSWER
(x−a)
3
+(x−b)
3
+(x−c)
3
−3(x−a)(x−b)(x−c) and a+b+c=3x
We know that a
3
+b
3
+c
3
−3abc=(a+b+c)(a
2
+b
2
+c
2
−ab−ac−bc)
If (a+b+c)=0, then.a
3
+b
3
+c
3
=3abc
Here,a=x−a
b=x−b
c=x−c and a+b+c=x−a+x−b+x−c=3x−(a+b+c)=3x−3x=0
Thus,(x−a)
3
+(x−b)
3
+(x−c)
3
−3(x−a)(x−b)(x−c)
=0