1-(x-y)/(x+2y)÷(x²-y²)/(x²+4xy+4y²),化简
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 17:18:42
1-(x-y)/(x+2y)÷(x²-y²)/(x²+4xy+4y²),化简
原式=1-(x-y)/(x+2y)÷(x+y)(x-y)/(x+2y)²
=1-(x-y)/(x+2y)*(x+2y)²/(x+y)(x-y)
=1-(x+2y)/(x+y)
=[(x+y)-(x+2y)]/(x+y)
=-y/(x+y)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 17:18:42
1-(x-y)/(x+2y)÷(x²-y²)/(x²+4xy+4y²),化简
原式=1-(x-y)/(x+2y)÷(x+y)(x-y)/(x+2y)²
=1-(x-y)/(x+2y)*(x+2y)²/(x+y)(x-y)
=1-(x+2y)/(x+y)
=[(x+y)-(x+2y)]/(x+y)
=-y/(x+y)