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Question

Which of the following identities can be used to solve 1001 × 999?

A
(a+b)×(ab)=a2b2
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B
(a+b)2=a2+2ab+b2
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C
(ab)2=a22ab+b2
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D
None of the above
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Solution

The correct option is A (a+b)×(ab)=a2b2
1001×999=(1000+1)(10001)=1000212

Using the identity,
(a+b)× (ab)=a2b2
=10000001=999999

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