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Question

Find the value of 1010×990 , using identities.


A

999900

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B
100000
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C
990000
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D
119900
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Solution

The correct option is A

999900


1010 can be written as (1000 + 10) and 990 can be written as (1000 - 10)
1010×990=(1000+10)×(100010)

Using the identity (a+b)(ab) = a2 - b2,
(1000+10)(100010) = 10002-102
= 1000000100
= 999900


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