In the first video, we are going to add and subtract simple rational expressions.
Simply combine the numerator and the denominator together if the denominators are the same and we have
Let’s look at another example:
Since the denominators are not the same, multiple each fraction to achieve the least common multiple
Now, we can add the terms together
In order to reduce the expression, factor if necessary
Reduce, and our final answer is
In the second video, we are going to add and subtract more complex rational expressions.
Multiply each fraction to achieve the least common multiple
Use the distributive property to multiply
Now that we have common denominators, add the numerators together
Factor any expression if necessary
Since nothing can be reduced, we are going back to the original expression
Use FOIL (First, Outside, Inside, Last) to multiply
Combine like terms, and we have