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When the square of the difference of two natural numbers is subtracted from the square of the sum of the same two numbers and the result is divided by four, we get

Question and options

When the square of the difference of two natural numbers is subtracted from the square of the sum of the same two numbers and the result is divided by four, we get
  1. the product of the LCM and HCF of the two numbers
  2. the HCF of the two numbers
  3. the LCM of the two numbers
  4. the square of the product of the two numbers

Answer and explanation

Correct answer: A - the product of the LCM and HCF of the two numbers
((a+b)^2-(a-b)^2)/4 = ab, and the product of two numbers equals LCM x HCF.

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  • IPMAT Indore

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