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COMEDK2016MathematicsComplex Number

If 2 x=-1+ 3 i , then the value of (1-x²+x )⁶- (1-x+x² )⁶=

Options

  1. A0
  2. B64
  3. C-64
  4. D32

Correct answer

A. 0

Step-by-step solution

We have, 2 x=-1+ 3 i x= -1+ 3 i 2 = So, (1-x²+x )⁶- (1-x+x² )⁶= (1- ²+ )⁶- (1- - ² )⁶= (-2 ² )⁶-(- - )⁶=2⁶ ¹²-2⁶()⁶=2⁶-2⁶=0 [ ³=1 ]

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