Find the value of the given expression :

649×649+351×351-649×351
649x649x649+351+351+351

  1. 1/1000
  2. 1/298
  3. None of these
  4. 149/500
Anurag Mishra Professor Asked on 14th December 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 1/1000

    Explanation:-
    (649 x 649 + 351 x 351 – 649 x 351)/(649 x 649 x 649 + 351 x 351 x 351)
    (649² + 351² – 649 x 351)/(649³ + 351³)

    Formula-
    a³ + b³ = (a + b) (a² + b² – ab)

    Then, (649² + 351² – 649 x 351)/ (649 + 351) (649² + 351² – 649 x 351)
    1/1000

    Hence, the answer is (1) 1/1000.

    Anurag Mishra Professor Answered on 15th December 2015.
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