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Square root of x^2-4 plus x^2/x^2+1

Sagot :

Panoyinidn
√x² - 4 + x²/x² + 1
x - 2 + x²/x² + 1
x - 2 +    x²   
   1      x² + 1
(x - 2)(x² + 1) +   x²   
  (1)(x² + 1)      x² + 1
x³ + x - 2x² - 2 +   x²   
       x² + 1          x² + 1
x³ - 2x² + x² + x - 2
           x² + 1
x³ - x² + x - 2
     x² + 1
x³ + x - 2