Suppose X and Y represent two different school populations where X > Y and X and Y must be greater than 0. Which of the following expressions is the largest? X2 + Y2 X2 − Y2 2(X + Y) (X + Y)2

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Suppose X and Y represent two different school populations where X > Y and X and Y must be greater than 0. Which of the following expressions is the largest? X2 + Y2 X2 − Y2 2(X + Y) (X + Y)2

Mathematics
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Would you simply assign a value to each of the variables, say x=2 and y=1, and simply show the work for the output of each expression??
great idea to plug in some values to start with so smallest numbers are \(X, Y = 1,1\) -- which sounds pretty dumb for a school population *but* you are only told that \(X,Y > 0,0 \)-- and no more info is provided. and, as you don't usually get half a teacher or half a student, you have started with \(X,Y = 1,1\); in which case the options evaluate as \( 2,0,4,4\) you can do the same for \(X,Y = 1, 2 \) and \( X, Y = 2,1\), and see how it pans out thereafter, if you next move onto more realistic assumption that \(X, Y \geq 2\), you know that \(X^2, Y^2 \gt X,Y > 4,4\) ad you can start to compare these properly using alebra alone not sure you're going to get a very satisfactory answer from this

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