if a+1/b =b+1/c =c+1/a , where a b c are not equal . then find the value of a^2b^2c^2.
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if a+b+c=0, then a
3
+b
3
+c
3
=3abc
Let Z=X
a
2
b
−1
c−1
X
a
−1
b
2
c
−1
X
a
−1
b
−1
c
2
⇒Z=X
bc
a
2
+
ac
b
2
+
ab
c
2
⇒
bc
a
2
+
ac
b
2
+
ab
c
2
=
abc
a
3
+b
3
+c
3
=
abc
3abc
=3 ....[a+b+c=0]
⇒Z=X
3
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