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AP EAMCET202422 May 2024Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

9^ - 27^ - 63^ + 81^ =

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

A. 4

Step-by-step solution

aligned & 81^ + 9^ - 63^ - 27^ = & 9^ + 9^ - ( 27^ + 27^ ) = & ( 9^ )^2+ ( 9^ )^2 9^ 9^ - ( 27^ )^2+ ( 27^ )^2 27^ 27^ = & 1 9^ 9^ - 1 27^ 27^ = 2 18^ - 2 54^ = & 2 ( 54^ - 18^ ) 54^ 18^ = 4 36^ 18^ 36^ 18^ =4 aligned

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