How do you simplify #\frac { 1} { ( x + 1) ( x + 2) } - \frac { 1} { ( x + 1) ( x + 3) } + \frac { 1} { ( x + 2) ( x + 3) } #?
1 Answer
See a solution process below:
Explanation:
To add and subtract fractions you must have each fraction over a common denominator.
For this problem the common denominator is:
First, we can multiply each term by the appropriate form of
Next, we can add and subtract the numerators over the now common denominator:
We can now cancel common terms in the numerator and denominator:
However, because we cannot divide by zero we need the following exclusions from the original expression:
Where
