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Question

The solution of the following by using suitable identities:
5092 is ------

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Solution

The given expression 5092 can be rewritten as (500+9)2 and we solve it as follows:
(500+9)2=(500)2+(9)2+(2×500×9)((a+b)2=a2+b2+2ab)=250000+81+9000=259081
Hence, 5092=259081.

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