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Question
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
995
Solution
Decomposing: 995 = 1000 − 5
Here, a = 1000 and b = 5
Using the identity (a − b)2 = a2 − 2ab + b2:
9952 = (1000 − 5)2 = 10002 − 2(1000)(5) + 52 = 1000000 − 10000 + 25 = 990025
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