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Calculus Level 3

What is the minimum value that the expression

x2y22x2y+2x2+2xy2x+1x2y+x\dfrac{x^2y^2 - 2 x^2y +2x^2 +2xy-2x+1}{x^2y + x}

when x,yR+x,y \in \mathbb{R^+}, can attain? Express your answer to four decimal places.

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