分式的乘除法计算::x²-4y²/x²+2xy+y²÷x+2y/x²+xy

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分式的乘除法计算::x²-4y²/x²+2xy+y²÷x+2y/x²+xy分式的乘除法计算::x²-4y²/x²+2xy

分式的乘除法计算::x²-4y²/x²+2xy+y²÷x+2y/x²+xy
分式的乘除法计算::x²-4y²/x²+2xy+y²÷x+2y/x²+xy

分式的乘除法计算::x²-4y²/x²+2xy+y²÷x+2y/x²+xy
原式=[(x+2y)(x-2y)/(x+y)²]÷[(x+2y)/x(x+y)]
=(x+2y)(x-2y)x(x+y)/[(x+y)²(x+2y)]
=(x-2y)x/(x+y)
=(x²-2xy)/(x+y)

原式=(x-2y)(x+2y)/(x+y)^2*x(x+y)/(x+2y)
=x(x-2y)/(x+y)