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Question
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
999
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Solution
Decomposing: 999 = 1000 - 1
Here, a = 1000 and b = 1
Using the identity (a − b)2 = a2 − 2ab + b2:
9992 = (1000 − 1)2 = 10002 − 2(1000)(1) + 12 = 1000000 − 2000 + 1 = 998001
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