CMR

a) \(\frac{2x^2+3xy+y^2}{2x^3+x^2y-2xy^2-y^3}\)=\(\frac{1}{x-y}\)

b) \(\frac{x^2y-2xy^2+y^3}{2x^2-xy-y^2}\)=\(\frac{y-\left(x-y\right)}{2x+y}\)

c) \(\frac{4x^2-4xy+y^2}{y^3-6y^2x+12yx^2-8x}=\frac{-1}{2x-y}\)

rút gọn biểu thức

a)\(\left(\frac{x}{xy-y^2}+\frac{2x-y}{xy-x^2}\right).\frac{x^2y-xy^2}{x^2-2xy+y^2}\)

b) \(\left(\frac{x+y}{2x-2y}-\frac{x-y}{2x+2y}-\frac{2y^2}{y^2-x^2}\right):\frac{2y}{x-y}\)

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Rút gọn:

a) \(\frac{x^2+y^2-1+2xy}{x^2-y^2+1+2x}\)

b) \(\frac{3x^3-6x^2y+xy^2-2y^3}{9x^5-18x^4y-xy^4+2y^5}\)

Rút gọn biểu thức

A= \(1+\left[\frac{2x^3y^2+2x^2y^3}{x+y}:\left(\frac{2x^2y^2}{x^2+xy}+\frac{2x^2y^2}{y^2+xy}\right)\right]\)

Rút gon phân thức a)8x^3+y^3/y^3+2xy^2+y^2-4x^2 b)x^2-2x-8/2x^2+9x+10                   c)6x-x^2-5/5x^6-x^7.                        d)x^3+64/2x^3-8x^2+32x.             e) x^2+3xy+2y^2/x^3+2x^2y-xy^2-2y^3

a, x^2 +2xy^2+y^3/ 2x^2 +xy -y^2=xy+x^2/2x-y

b, x^2 + 3xy +2y^2 /x^3 +2x^2y-xy^2 -2y^3= 1/2x-7

Bài 1 rút gọn biểu thức 

A=\(\left(x-\frac{4xy}{x+y}+y\right)\):\(\left(\frac{x}{x+y}-\frac{y}{x-y}-\frac{2xy}{x^2-y^2}\right)\)

B=\(\left(\frac{x-y}{2y-x}-\frac{x^2+y^2+y-2}{x^2-xy-2y^2}\right)\):\(\left(\frac{x^2+4x^2y^2+y^4}{x^2+y+xy+x}\right):\left(\frac{1}{2x^2+y+2}\right)\)

Bài 2 Rút gọn

A=(\(x-\frac{4xy}{x+y}+y\)):(\(\frac{x}{x+y}-\frac{y}{x-y}-\frac{2xy}{x^2-y^2}\))

B=(\(\frac{x-y}{2y-x}-\frac{x^2+y^2+y-2}{x^2-xy-2y^2}\)):\(\frac{x^2+4x^2y^2+y^4-4}{x^2+y+xy+x}\):\(\frac{1}{2x^2+y+2}\)