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Question

Evaluate (9.8)2 by using the identity (ab)2=a22ab+b2.

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Solution

Using the given identity (ab)2=a22ab+b2 to evaluate (9.8)2
We can write (9.8)2 = (100.2)2
(100.2)2= 1022(10)(0.2)+0.22 = 1004+0.04
Hence the answer is 96.04

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