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Question

The value of (105)2 + (95)2 is:

A
39900
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B
41889
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C
34649
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D
40229
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Solution

The correct option is A 39900
(105)2 can be written as (100+5)2,
(95)2 can be written as (100-5)2.
Using the identity (a+b)2 + (a-b)2 = 4ab,
(105)2 + (95)2 = 4(105)(95) = 39900.

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