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Let 2 ( 15 2 )( 8 + 8 )+ ( 15 2 )( 8 - 8 ) is equal to

Options

  1. A- 2 3
  2. B2 -1 3
  3. C2 3
  4. D1- 2 3

Correct answer

D. 1- 2 3

Step-by-step solution

Expanding and regrouping: 15 2 ( 8 + 8 ) + 15 2 ( 8 - 8 ) = ( 15 2 8 + 15 2 8 ) + ( 15 2 8 - 15 2 8 ) = (8 - 15 2 ) + ( 15 2 - 8 ) = 2 - 2 . From = - 1 2 2 : = 2 2 3 , = - 1 3 . ( 2 - 2 )^2 = 1 - = 1 - 2 2 3 = ( 2 -1)^2 3 . Since 4 2 , so the value is 1- 2 3 .

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