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# Suppose that X and Y are positive and X>Y. Explain why we must have x^2>y^2.

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Suppose that X and Y are positive and X>Y. Explain why we must have x^2>y^2.

Guest Jun 2, 2017
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Suppose that X and Y are positive and X>Y. Explain why we must have x^2>y^2.

Well you could just say it is obvious but I guess that would not get you any brownie points.

$$X^2=(Y+n)^2=Y^2+n^2+2nY=Y^2+\text{a positive number}\\ \therefore\\ X^2>Y^2$$