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madam [21]
3 years ago
15

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

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0
√x² - 4 + x²/x² + 1
x - 2 + x²/x² + 1
<u>x - 2</u> + <u>   x²    </u>
   1      x² + 1
<u>(x - 2)(x² + 1)</u> +<u>   x²    </u>
  (1)(x² + 1)      x² + 1
<u>x³ + x - 2x² - 2</u> + <u>  x²    </u>
       x² + 1          x² + 1
<u>x³ - 2x² + x² + x - 2</u>
           x² + 1
<u>x³ - x² + x - 2</u>
     x² + 1
x³ + x - 2
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