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Q.


Evaluate 104 × 96 without multiplying directly.

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a

9984

b

1258

c

5562

d

8965  

answer is A.

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Detailed Solution

Given that 104 × 96.
Let us first split 104 and 96 as:
104 × 96 = (100 + 4) (100 - 4)
Then, by using identity (a + b) (a – b) =  a² – b² , we get
104×96=(100+4)(100−4)  
= (100) 2 − 4 2  
=10000−16  
=9984  
Hence, 104 × 96 = 9984.
Therefore, the correct option is 1.
 
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Evaluate 104 × 96 without multiplying directly.