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Question
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
495
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Solution
Decomposing: 495 = 500 − 5
Here, a = 500 and b = 5
Using the identity (a − b)2 = a2 − 2ab + b2:
4952 = (500 − 5)2 = 5002 − 2(500)(5) + 52 = 250000 − 5000 + 25 = 245025
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