ab=1,求1/a+1 + b/b+1的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/15 09:01:47
ab=1,求1/a+1+b/b+1的值ab=1,求1/a+1+b/b+1的值ab=1,求1/a+1+b/b+1的值1/(a+1)+b/(b+1)=(b+1+ab+b)/(ab+a+b+1)=(ab+a

ab=1,求1/a+1 + b/b+1的值
ab=1,求1/a+1 + b/b+1的值

ab=1,求1/a+1 + b/b+1的值
1/(a+1) + b/(b+1)
=(b+1+ab+b)/(ab+a+b+1)
=(ab+a+b+1)/(ab+a+b+1)
=1

答案好像是 b+3 吧

若b≠ -1
1/(a+1) + b/(b+1)
=(b+1+ab+b)/(ab+a+b+1)
=(1+2b+ab)/((a+1)(b+1))
=2*(1+b)/((a+1)(b+1))
=2/(a+1)
若b=-1

1/(a+1) + b/(b+1)
=(b+1+ab+b)/(ab+a+b+1)
=(1+2b+ab)/((a+1)(b+1))
=2*(1+b)/((a+1)(b+1))