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Q.

What is the value of 999 2 − 99 2   after simplifying it?

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a

988200

b

988202

c

988201

d

988203 

answer is A.

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Detailed Solution

The given polynomial is,
999 2 − 99 2  
We use the concept of algebraic identities to solve the given polynomial.
So,
We can simplify it as,
999 2 − 99 2 = 999−99 999+99     a+b a−b = a 2 − b 2  
⇒ 999 2 − 99 2 =900×1098  
⇒ 999 2 − 99 2 =988200  
Thus, the value of 999 2 − 99 2   after simplifying it, is 988200
Hence, option 1 is the correct option.
 
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