solve the following question
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Given,
a + b + c = 0
Now ,
( a^2 / bc ) + ( b^2/ca ) + ( c^2 / ab ) = 3
a^2 × a + b^2 × b + c^2 × c
____________________ = 3
abc
a^3 + b^3 + c^3
___________ = 3
abc
We know that,
If a + b + c = 0 , then a^3 + b^3 + c^3 = 3abc.
3 abc / abc = 3
3 = 3
Proved.
a + b + c = 0
Now ,
( a^2 / bc ) + ( b^2/ca ) + ( c^2 / ab ) = 3
a^2 × a + b^2 × b + c^2 × c
____________________ = 3
abc
a^3 + b^3 + c^3
___________ = 3
abc
We know that,
If a + b + c = 0 , then a^3 + b^3 + c^3 = 3abc.
3 abc / abc = 3
3 = 3
Proved.
Answered by
6
hope it will help u...
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Arooza:
it's +3abc in the 3rd step
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