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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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its simply, really
\[6\div r ^{2}-1 -1\div2=1\div r-1\]
lcd=\[(r ^{2}-1)(r+1)(2)?\]

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Other answers:

the last term is suppose to be 1/r+1
is this your question?:\[\frac{6}{r^2-1}-\frac{1}{2}=\frac{1}{r+1}\]
yes
use the fact that:\[r^2-1=(r+1)(r-1)\]
okay r^2-1 = (r+1)(r-1) make all the denominators match
and then multiply both sides by (r+1). that should simplify the expression.
I need to leave now - but hopefully there are plenty of people here that can assist you...

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