Can someone please tell me what the easiest way to solve this problem would be? The answer is A. Thanks!
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The numerator and denominator are both differences of squares:
1001^2 - 999^2 = (1001+999)(1001-999) = 2000*2
101^2 - 99^2 = (101+99)(101-99) = 200*2
Cancel (2000*2)/(200*2) to get 10.
