International Maths Olympiad Forum By SOF Olympiad Trainer - Page 316

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Subject :IMO    Class : Class 5

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Class : Class 5

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Class : Class 5
OMG It is so tough Does someone no the answerIf yes, for god sake please tell the solution because the SOF people have not given it in the answer sheet.

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Class : Class 5
,difficult

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Class : Class 5

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Subject :IMO    Class : Class 9

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Class : Class 7
the answer is 0 . i hope you know the formula a^3 + b^3 + c^3 - 3abc =0 , when a+b+c = 0. take x-a = p, x-b=q and x-c=r. so a/q we have to find p^3 + q^3 + r^3 - 3pqr. now notice p+ q+ r= x-a+x-b+x-c = 3x-a-b-c = 0. so p^3 + q^3 + r^3 - 3pqr =0 as p+q+r=0

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 1

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Class : Class 8
H

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 7

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Subject :IMO    Class : Class 6
Q

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Subject :IMO    Class : Class 6
Q

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 4

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