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Question
Find the squares of the following numbers using the identity (a − b)2 = a2 − 2ab + b2:
498
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Solution
Decomposing: 498 = 500 − 2
Here, a = 500 and b = 2
Using the identity (a − b)2 = a2 − 2ab + b2:
4982 = (500 − 2)2 = 5002 − 2(500)(2) + 22 = 250000 − 2000 + 4 = 248004
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