x+2y分之x-y/x² + 4xy+4y²分之x²-y²

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 05:13:05

x+2y分之x-y/x² + 4xy+4y²分之x²-y²
x+2y分之x-y/x² + 4xy+4y²分之x²-y²

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)