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Question
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
99
Solution
Decomposing: 99 = 100 − 1
Here, a = 100 and b = 1
Using the identity (a − b)2 = a2 − 2ab + b2:
992 = (100 − 1)2 = 1002 − 2(100)(1) + 12 = 10000 − 200 + 1 = 9801
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