During the Unit of Rational Expressions I have learned a few things like multiplying and dividing rational expressions. Compared to adding and subtracting these expressions it is a tad bit easier. I have learned to **Just Do IT!**

**Steps When Multiplying Rational Expressions**

- Simplify: Can do so by factoring to see if anything from the numerator and the denominator will cancel out.
- Multiply across:
**Just Do It!** - Simplify: By taking out a common factor if possible
- Variables: You can simplify variables too! If there is a on the denominator and a single x in the numerator we know that at least one pair can cancel out. The leftover variable will be left on the same side that it is on.
- State any
**Non Permissible values**

Example 1:

**Step ****1:**** Simplify**: Get the simplest form of each fraction by taking out a common factor.

In this case it is two

could be a different number for the two fractions, it’s not always the same.

You can also simplify the the variables

**Step 2: Multiply across (Just Do It!)**

**Step 3: Simplify by taking out common factors if possible**

**Step 4: Variables**

**Step 5: State any Non Permissible Values**

This is how you would multiply rational expressions

**How to Divide Rational Expressions**

**Steps When Dividing Rational Expressions**

Dividing rational expressions is very similar to that of multiplying. There is just one extra step. It is to reciprocate the fraction that is to right after the divide sign.

- Simplify: Can do so by factoring
- Reciprocate
- Cancel any pair terms
- Multiply across:
**Just Do It!** - Simplify: By taking out a common factor if possible
- Variables: You can simplify variables too! If there is a on the denominator and a single x in the numerator we know that at least one pair can cancel out. The left over variable will be left on the same side that it is on.
- State any
**Non Permissible values**

Example 2:

**Step 1: Simplify (factor)**

**Step 2: Reciprocate (this gets rid of the dividing sign and makes it a **__multiplying__** sign)**

**Step 3: Cancel out any pair terms**

**Step 4: Multiply Across (Just Do It!)**

**State the Non Permissible Values**

**FINAL ANSWER:**

This is how you would divide rational expressions.