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Q.

What is the value of the expression (405) 2 − (395) 2  ?


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a

8000  

b

6000  

c

7000  

d

9000    

answer is A.

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Detailed Solution

Given expression is (405) 2 − (395) 2  .
Standard formula:
a 2 − b 2 = a+b a−b  
Applying formula,
⇒ 405 2 − 395 2 = 405−395 405+395  
Simplifying,
⇒ 10 800 ⇒8000  
Hence, the value of 405 2 − 395 2 =8000  .
Therefore, the correct option is 1.
 
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