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AP EAMCET2004MathematicsTrigonometric Equations

The expression 9^ - 27^ - 63^ + 81^ is equal to

Options

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

Correct answer

A. 4

Step-by-step solution

aligned & 9^ - 27^ - 27^ + 9^ & = ( 9^ 9^ + 9^ 9^ )- ( 27^ 27^ + 27^ 27^ ) & = ( ^2 9^ + ^2 9^ 9^ )- ( ^2 27^ + ^2 27^ 27^ 27^ ) & = 2 18^ - 2 54^ & = 2 5 -1 4 - 2 5 +1 4 = 8 5 -1 - 8 5 +1 & = 16 5-1 = 16 4 =4 aligned

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