SOLUTION: add or subtract as indicated. x/x+4-36/x^2-x-20

Question 86680: add or subtract as indicated. x/x+4-36/x^2-x-20
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Subtract
.
Notice first that factors into . Substitute the factored
form into the problem, and the problem becomes:
.

.
Next, create a common denominator in the two terms by multiplying the first term by
which is equivalent to multiplying by 1 because the numerator of this
multiplier is the same as the denominator. This multiplication makes the problem
become:
.

.
and this simplifies to:
.

.
The numerator of the first term multiplies out to . Substituting this into
the polynomial makes it become:
.

.
Now since the two terms have the same denominator, they can be combined by just subtracting
the two numerators and putting that result over the common denominator. This results
in:
.

.
Now notice that the numerator factors into .
Substitute this for the numerator and the result is:
.

.
Cancel the like terms in the numerator and denominator:
.

.
and this reduces to the form:
.

.
This is the answer you are looking for. Hope this helps you to understand the problem
and how to work it through to an answer.
.
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