化简:[1+N/M -M/(M-N)]÷[(1-N/M -M/(M+N)] ,
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/09 19:03:38
化简:[1+N/M -M/(M-N)]÷[(1-N/M -M/(M+N)] ,
![化简:[1+N/M -M/(M-N)]÷[(1-N/M -M/(M+N)] ,](/uploads/image/z/11322631-55-1.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%9A%5B1%EF%BC%8BN%EF%BC%8FM+%EF%BC%8DM%EF%BC%8F%EF%BC%88M%EF%BC%8DN%EF%BC%89%5D%C3%B7%5B%EF%BC%881%EF%BC%8DN%EF%BC%8FM+%EF%BC%8DM%EF%BC%8F%EF%BC%88M%EF%BC%8BN%EF%BC%89%5D%E3%80%80%2C)
原式=[(m+n)/m - m/(m-n)]÷[(m-n)/m -m/(m+n)]
=[(m+n)(m-n)-m²]/m(m-n) ÷ [(m+n)(m-n)-m²]/m(m+n)
= (m²-n²-m²)/m(m-n) × m(m+n)/(m²-n²-m²)
=(m+n)/(m-n)
=[(m+n)(m-n)-m²]/m(m-n) ÷ [(m+n)(m-n)-m²]/m(m+n)
= (m²-n²-m²)/m(m-n) × m(m+n)/(m²-n²-m²)
=(m+n)/(m-n)