Question

初二上册分式题!如果：abc=1 求证：ab+a+1分之1加bc+b+1分之1加ac+c+1分之1=1

Answer 1

1/(ab+a+1)+1/(bc+b+1)+1/(ac+c+1)

=1/(ab+b+1)+a/(abc+ab+a)+ab/(a²bc+abc+ab)

=1/(ab+b+1)+a/(1+ab+a)+1b./(a+1+ab)

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

=1