Posted by Lavern on Thursday, March 29, 2012 at 5:22pm.
Notice that the denominator consists of
(v-6), (v+6), and (v^2-36)=(v+6)(v-6)
Therefore the common denominator is
(v²-36)=(v+6)(v-6)
The first fraction becomes:
(v-5)(v+6)
-------------
(v²-36)
The second fraction becomes:
(v+1)(v-6)
-------------
(v²-36)
And the third one stays at:
(v-18)
-------------
(v²-36)
Since we have a common denominator, we can expand the numberators and add to get:
7(v-6)
---------
(v+6)(v-6)
which after cancelling gives:
7/(v+6).
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