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Question

Using identities, evaluate 992


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Solution

Finding the value of 992:

992 can be written as (1001)2

Using the identity

(ab)2=a2+b22ab

(99)2=(1001)2(1001)2=1002+122×100×1(1001)2=1002+12200(1001)2=10000+1200(1001)2=9801992=9801

Hence, the value of 992is9801.


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