Pls explain the solution- inequalities - Manhaton 5lb

GRE Quant Problem Solving
1

I tried to solve this question, can anyone pls explain the solution

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2

image — Eq 1
First think the scenario in which this situation is True.

Now before starting to solve the question see if both quantities got something in common and eliminate it.

Now, when you have a simplified Qty A & B , tests the values which made Eq 1 True

3

x<0 and y>0 is the only case for which the inequality is valid. Just check with example numbers , you will eventually arrive at this result…

So with this case in mind (x-y)^2 will have a larger value