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Inegalité indian

Source: India National Olympiad 2002, Problem 3

October 10, 2005
calculusalgebrapolynomialindiainequalities proposedInequality

Problem Statement

If xx, yy are positive reals such that x+y=2x + y = 2 show that x3y3(x3+y3)≤2x^3y^3(x^3+ y^3) \leq 2.
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