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Question

The value of (101)2 - (99)2 is:

A
39996
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B
33596
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C
32496
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D
36646
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Solution

The correct option is A 39996
(101)2 can be written as (100+1)2,
(99)2 can be written as (100-1)2.
Using the identity (a+b)2 - (a-b)2 = 4ab,
(100+1)2(1001)2=4(100)(1)=400

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