Simplify the following expression: 

9993 × 10007 

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 3)
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  1. 99999951 
  2. 9999951 
  3. 9999949 
  4. 91999949 

Answer (Detailed Solution Below)

Option 1 : 99999951 
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Detailed Solution

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Given:

Expression to simplify: 9993 × 10007

Formula Used:

Using the algebraic identity (a - b)(a + b) = a2 - b2

Calculation:

Here, a = 10000 and b = 7

⇒ 9993 × 10007 = (10000 - 7) × (10000 + 7)

⇒ 9993 × 10007 = 100002 - 72

⇒ 9993 × 10007 = 100000000 - 49

⇒ 9993 × 10007 = 99999951

The correct answer is option 1.

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