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yx2+1+xy2+1\dfrac{y}{x^{2}+1} + \dfrac{x}{y^{2}+1}x2+1y+y2+1x
If x=3+2x= \sqrt{3} + \sqrt{2}x=3+2 and y=3−2y= \sqrt{3} - \sqrt{2}y=3−2, then the expression above can be simplified to the form abb \dfrac { a \sqrt b}{b} bab where a,ba,ba,b are coprime positive integers with bbb square-free.
What is the value of a+ba+ba+b?
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