Question 1080276
6/(n-2),
.
.
(6/(n-2))-5/(n+2),
.


{{{(6/(n-2))-5/(n+2)=2(1/(n^2-4))}}}


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{{{6/(n-2)-5/(n+2)=2/(n^2-4)}}}


Multiply both sides by simplest common denominator {{{(n-2)(n+2)=n^2-4}}};


{{{6(n+2)-5(n-2)=2}}}

{{{6n+12-5n+10=2}}}

{{{n=2-12-10}}}

{{{highlight(n=-20)}}}, 









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check
6/(-20-2)-5/(-20+2)=2/((-20)^2-4)
6/(-22)-5/(-18)=2/(400-4)
-3/11+5/18=2/396
5/18-3/11=1/198
LCD 198
.
0.005050505 and 0.0050505050