学帮网x+2y分之x-y/x² + 4xy+4y²分之x²-y²
来源：学生作业学帮网 编辑：学帮网 时间：2024/06/16 01:50:04
x+2y分之x-y/x² + 4xy+4y²分之x²-y²
原式=[(x-y)/(x+2y)]÷[(x²-y²)/(x²+4xy+4y²)]
=[(x-y)/(x+2y)]÷[(x+y(x-y)/(x+2y)²]
=[(x-y)/(x+2y)]×[(x+2y)²/(x+y)(x-y)]
=(x+2y)/(x+y)
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来源：学生作业学帮网 编辑：学帮网 时间：2024/06/16 01:50:04
x+2y分之x-y/x² + 4xy+4y²分之x²-y²
原式=[(x-y)/(x+2y)]÷[(x²-y²)/(x²+4xy+4y²)]
=[(x-y)/(x+2y)]÷[(x+y(x-y)/(x+2y)²]
=[(x-y)/(x+2y)]×[(x+2y)²/(x+y)(x-y)]
=(x+2y)/(x+y)