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Question

The value of (501)2(500)2 is :

A
1
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B
101
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C
1,001
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D
None of these
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Solution

The correct option is C 1,001
Given, (501)2(500)2.

We know, a2b2=(a+b)(ab).

Then,
(501)2(500)2
=(501+500)(501500)
=(1001)(1)
=1001.

Therefore, option C is correct.

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