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Question
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
599
Solution
Decomposing: 599 = 600 − 1
Here, a = 600 and b = 1
Using the identity (a − b)2 = a2 − 2ab + b2:
5992 = (600 − 1)2 = 6002 − 2(600)(1) + 12 = 360000 − 1200 + 1 = 358801
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