求分式分离方法1/(x+1)(x-1)是否等于1/(x+1)-1/(x-1)

题目详情

求分式分离方法 1/(x+1)(x-1)是否等于 1/(x+1)-1/(x-1)

▼优质解答

答案和解析

1/(x+1)-1/(x-1)
=(x-1)/(x+1)(x-1)-(x+1)/(x+1)(x-1)
=(x-1-x-1)/(x+1)(x-1)
=-2/(x+1)(x-1)
1/(x+1)(x-1)不等于 1/(x+1)-1/(x-1)

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