(4x^2)y/(4y^2-x^2)+(4y^2/x-2y)+x+2y

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(4x^2)y/(4y^2-x^2)+(4y^2/x-2y)+x+2y
(4x^2)y/(4y^2-x^2)+(4y^2/x-2y)+x+2y

(4x^2)y/(4y^2-x^2)+(4y^2/x-2y)+x+2y
见下图

(4x^2)y/(4y^2-x^2)+(4y^2)/(x-2y)+x+2y
=4x^2y/(2y+x)(2y-x)-4y^2/(2y-x)+(2y+x)
=(4x^2y-4y^2*(2y+x)+（2y+x)^2(2y-x))/((2y+x)(2y-x))
=(4x^2y-(4y^2-4y^2+x^2)(2y-x))/((2y+x)(2y-x))
=(4x^y-x^2(2y-x))/(（2y+x)(2y-x))
=(2x^2y+x^3)/((2y+x)(2y-x))
=xy(2y+x)/((2y+x)(2y-x))
=xy/(2y-x)

(16y^4-x^4+4x^3y)/(4y^2-x^2)x