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先化简,再求值:(x²)/(x²-2xy+y²)÷(x²+2xy+y²)/(x&

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/09 19:39:18
先化简,再求值:(x²)/(x²-2xy+y²)÷(x²+2xy+y²)/(x²-y²),其中x=3
y=4
(x²)/(x²-2xy+y²)÷(x²+2xy+y²)/(x²-y²)
=(x²)/(x-y)²÷(x+y)²/(x+y)(x-y)
=x² / (x-y)² * (x+y)(x-y) / (x+y)²
=x² / (x-y)(x+y)
=x² / (x²-y²)
把x=3,y=4代入
原式=3² / (3²-4²)
=-9/7