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Question

The solution of the following by using suitable identities:
9922 is -------

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Solution

The given expression 9922 can be rewritten as (10008)2 and we solve it as follows:
(10008)2=(1000)2+(8)2(2×1000×8)((ab)2=a2+b22ab)=1000000+6416000=100006416000=984064
Hence, 9922=984064.

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