Question

Please answer this question
(x-a)^3 + (x-b)^3 + (x-c)^3 -3(x-a)(x-b)(x-c) when a+b+c=3x

Answer 1

Answer:

ans: 0

Step-by-step explanation:

(x-a)^3 + (x-b)^3 + (x-c)^3 -3(x-a)(x-b)(x-c)

Let x-a=p,x-b=q,x-c=r

then p+q+r=x-a+x-b+,x-c=x+x+x-(a+b+c)=3x-3x=0

so p+q+r=0

then p³+q³+r³=3pqr

or p³+q³+r³-3pqr=0

putting values of p,q,r

(x-a)^3 + (x-b)^3 + (x-c)^3 -3(x-a)(x-b)(x-c)=0