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  • 20-11-2017
  • Mathematics
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what is x+2/x * 10/30

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  • 20-11-2017
x + (2 10)/(30 x)
The gcd of 10 and 30 is 10, so 10/30 = (10×1)/(10×3) = 10/10×1/3 = 1/3:
x + 2/(3 x)
Put each term in x + 2/(x 3) over the common denominator 3 x: x + 2/(x 3) = (3 x^2)/(3 x) + 2/(3 x):
(3 x^2)/(3 x) + 2/(3 x)
(3 x^2)/(3 x) + 2/(3 x) = (3 x^2 + 2)/(3 x):
Answer:  (3 x^2 + 2)/(3 x)
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