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anonymous
 one year ago
"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."
A. X^2 + Y^2
B. X^2 − Y^2
C. 2(X + Y)
D. (X + Y)^2
I'm a little confused on this question. I need someone to help me understand how to solve it rather than just telling me the answer.
anonymous
 one year ago
"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." A. X^2 + Y^2 B. X^2 − Y^2 C. 2(X + Y) D. (X + Y)^2 I'm a little confused on this question. I need someone to help me understand how to solve it rather than just telling me the answer.

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3One way to do this is to replace x and y with numeric values (eg: x = 15 and y = 10) and see which expression is the largest

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3Another way is to realize that if x is some positive number, then x^2 is some larger positive number. Same for y So x^2 + y^2 is certainly going to be larger than x+y x^2 + y^2 is going to be larger than x^2  y^2 because subtracting off the y^2 term makes the second result smaller. hopefully this is making sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0My first thought was that it would be D, is that correct?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3yes because (x+y)^2 expands out to x^2 + 2xy + y^2 it's larger than x^2 + y^2 because of that extra 2xy added on

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, thank you Just needed some verification

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3you're welcome
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