Question 272250
x/2 + 2x/3
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1/x - x/2 


1. Add or subtract, as necessary, to get a single rational expression in the numerator.
(x/2)+(2x/3) = (3x+4x)/6 = (7x)/6
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2. Add or subtract, as necessary, to get a single rational expression in the denominator.
(1/x)-(x/2) = (2-x^2)/2x
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3. Divide the numerator by the denpminator.
(7x/6)/(2-x^2)/2x
Invert the denominator and multiply to get:
(7x/6)(2x/(2-x^2))

4. If possible, simplify by removing a factor of 1.
(7x^2)/(3(2-x^2)
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Cheers,
Stan H.

 
they say the answer is 7x^2/3(2-x^2)