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AP EAMCET201822 Apr 2018Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

aligned & ( 252^ - 126^ ) ( 252^ + . & . 126^ ) ( ^2 126^ + ^2 186^ + ^2 66^ )= aligned

Options

  1. A3 5 8
  2. B-3 5 8
  3. C-3 5 4
  4. D3 5 4

Correct answer

B. -3 5 8

Step-by-step solution

aligned & ( 252^ - 126^ ) ( 252^ + 126^ ) & ( ^2 126^ + ^2 186^ + ^2 66^ ) & = ( ^2 252^ - ^2 126^ ) ( ^2 126^ + ^2 186^ + ^2 66^ ) & = [ 1+ 504^ 2 - 1- 252^ 2 ] & [ 1- 252^ +1- 372^ +1- 132^ 2 ] & = 1 4 ( 504^ + 252^ ) & [3- 252^ -2 252^ 120^ ] & = 1 4 (2 378^ 126^ ) [3- 252^ + 252^ ] & = 3 2 18^ (- 36^ )=- 3 2 10+2 5 4 10-2 5 4 & =- 3 32 100-20 = -3 32 80 =- 3 32 (4 5 ) & =- 3 5 8 & aligned

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