perform the indicated operation and simplify please help.

(v-5)/(v-6)-(v+1)/(v+6)+(v-18)/(v^2-36)

1 answer

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).
Similar Questions
  1. 1. divide and simplify x^2+x-56/x^1-1 / x-7/2x+22. find the product in simplest from for x^2+x-6/2x^2-x-3 * x^7-2x^6+4x^5/x^4+8x
    1. answers icon 4 answers
    1. answers icon 1 answer
    1. answers icon 1 answer
    1. answers icon 2 answers
more similar questions