What is the value of
(x-a) +(x-b)3 + (x-c) - 3(x-a)(x-b)(x-C)
when a + b + c = 3x.
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Answered by
1
Answer:
0 is correct answer
Step-by-step explanation:
(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
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