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Peter has recently been fascinated by numbers that can be expressed in the form f(a,b,c)=a(b-c)^3+b(c-a)^3+c(a-b)^3 for some integers a,b, and c. How many positive integers N=1000 can be expressed in the form f(a,b,c) As a specific example, since f(-1,2,3)=48, hence 48 can be expressed in the form of f(a,b,c).

Peter has recently been fascinated by numbers that can be expressed in the form
f(a,b,c)=a(b-c)^3+b(c-a)^3+c(a-b)^3 for some integers a,b, and c.

How many positive integers N=1000 can be expressed in the form f(a,b,c)

As a specific example, since f(-1,2,3)=48, hence 48 can be expressed in the form of f(a,b,c).

Grade:11

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
Please find my response to your question below
Iam not able to interpret your query.I think your question is not clear and some data is missing in your question.Please recheck the question and post it again so that i can provide you with a meaningful answer

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