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? Explain why. Show all work necessary.

X2 Y2

X2 - Y2

2 (X Y)

(X Y) 2

Lets say X Y are both 3. Just do the math!

X2 Y2 = (3*2) * (3*2) = 6*6=36

X2-Y2 = (3*2) - (3*2) = 6-6=0

2 (X Y) = 2 * (3*3) = 2*9=18

(X Y) 2 = (3*3) * 2=9*2=18

The answer is X2 Y2

Try this with other numbers and you should come up with the same results!