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化简⑴﹙2/5a﹚+﹙a-10/5a﹚ ⑵﹙2/m-1﹚-﹙m+1/m-1﹚ ⑶ (x+3y/x^2-y^2)-(x+2

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/20 11:10:54
化简⑴﹙2/5a﹚+﹙a-10/5a﹚ ⑵﹙2/m-1﹚-﹙m+1/m-1﹚ ⑶ (x+3y/x^2-y^2)-(x+2y/x^2-y^2)+﹙2x-3y/x^2-y^2)
⑴﹙2/5a﹚+﹙a-10/5a﹚
=(2+a-10)/5a
=(a-8)/5a

⑵﹙2/m-1﹚-﹙m+1/m-1﹚
=(2-m-1)/(m-1)
=(1-m)/(m-1)
=-1

⑶ (x+3y/x^2-y^2)-(x+2y/x^2-y^2)+﹙2x-3y/x^2-y^2)
=(x+3y-x-2y+2x-3y)/(x²-y²)
=(2x-2y)/(x²-y²)
=2(x-y)/(x+y)(x-y)
=2/(x+y)