SOLUTION: (x^2-9)/(2x-6)

Question 93247: (x^2-9)/(2x-6)
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Note that the numerator is the difference of two squares. As such it can be factored
using the following rule:
.

.
This form is identical to the numerator in the given expression if you let A = x and B = 3.
Substituting these into the rule you get:
.

.
So in place of you can substitute to convert the given
expression to:
.

.
Then notice that the denominator can be factored because 2 is common to both terms in
the denominator. When you factor the 2 you then have:
.

.
Then you can cancel the term in the denominator that is common with the one in the numerator
to get:
.

.
and what remains is:
.

.
This is the answer to the problem.
.
Hope this helps you to understand a method for reducing the problem to a lower form.
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