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Q.

Find the value of 99×101 using standard identity.


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a

9999

b

9989

c

9979

d

1009  

answer is A.

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Detailed Solution

We have to find the value of  99×101.
This can be written as 99×101=(100-1)(100+1).
We know, (a+b)(a-b)=a2-b2.
⇒99×101=(100-1)(100+1) ⇒(100)2-12
⇒10000-1 ⇒9999 Hence, the value of  99×101=9999.
Therefore, option 1 is correct.
 
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Find the value of 99×101 using standard identity.