Explanation

Don’t do the arithmetic! These are common quadratic patterns.

It’s not important that x = 141 and y = 28;

Quantity A is \(x^2 - y^2 = (x + y)(x - y)\), and

Quantity B is \((x - y)(x - y).\)

Since (x – y) is a positive number, you can simply compare the remaining factors after it is removed from both quantities. Since x and y are positive, (x + y) is greater than the
remaining (x – y) in Quantity B, and the answer is choice (A).
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Sandy
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