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Question

The solution of the following by using suitable identities:
7992 is -----

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Solution

The given expression 7992 can be rewritten as (8001)2 and we solve it as follows:

(8001)2=(800)2+(1)2(2×800×1)((ab)2=a2+b22ab)=640000+11600=6400011600=638401

Hence, 7992=638401.

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