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larger expression than both a and y for x,y>0 (HOMC 2019 JI-1)

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November 7, 2020
algebraCompare

Problem Statement

Let xx and yy be positive real numbers. Which of the following expressions is larger than both xx and yy?
A. xy+1xy + 1 B. (x+y)2(x + y)^2 C. x2+yx^2 + y D. x(x+y)x(x + y) E. (x+y+1)2(x + y + 1)^2