SOLUTION: Add or subtract as indicated. Express the results in simplest form. (x^2)/(x- 3)- (9)/(x- 3)

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Question 107235: Add or subtract as indicated. Express the results in simplest form.


(x^2)/(x- 3)- (9)/(x- 3)

Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
Given:
.

.
Since the two fractions have the same denominator, their numerators can be combined
over the common denominator. The result is:
.

.
But the numerator is the difference of two squares. Therefore it can be factored according
to the following form:
.

.
In this case A = x and B = 3. So applying this factoring rule, we transform the problem to:
.

.
After the above cancellation of the term in the numerator that is common with the term in
the denominator, the equivalent value of original expression is reduced to .
.
So the answer to this problem is is the simplest form of the given problem.
.
Hope this helps you to understand the problem.
.

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