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Question

Find the value of (99)2.


A

98001

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B

9801

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C

981

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D

9981

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Solution

The correct option is C

9801


(99)2 can also be expressed as (1001)2.

According to the identity (ab)2=a2+b22ab,

(99)2=(1001)2=(100)2+(1)2(2×100×1) =10000+1200 =10001200 =9801


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