Question

If x=12mn/(m+n),find the value of :(x+6m)/(x-6m)+(x+6n)/(x-6n).​

Answer 1

Answer:

hope it will help you......!!!

Step-by-step explanation:

x=12mnm+nx=12mnm+n

=>1x=m+n12mn=>1x=m+n12mn

=>6mx=6m12∗m+nmn=m+n2n=>6mx=6m12∗m+nmn=m+n2n

=>6nx=m+n2m=>6nx=m+n2m

x+6mx−6m=1+6mx1−6mxx+6mx−6m=1+6mx1−6mx

=1+m+n2n1−m+n2n=2n+m+n2n−m−n=1+m+n2n1−m+n2n=2n+m+n2n−m−n

=m+3nn−m=m+3nn−m

x+6nx−6n=1+6nx1−6nxx+6nx−6n=1+6nx1−6nx

=1+m+n2m1−m+n2m=2m+m+n2m−m−n=1+m+n2m1−m+n2m=2m+m+n2m−m−n

=3m+nm−n=3m+nm−n

x+6mx−6m+x+6nx−6n=m+3nn−m+3m+nm−nx+6mx−6m+x+6nx−6n=m+3nn−m+3m+nm−n

=m+3n−(3m+n)n−m=m+3n−3m−nn−m=2n−2mn−m=m+3n−(3m+n)n−m=m+3n−3m−nn−m=2n−2mn−m

= 2