Here are the steps required for Simplifying Rational Expressions:

 Step 1: Factor both the numerator and denominator of the fraction. Remember to write the expressions in descending order, to factor out a negative number if the leading coefficient is a negative number, and use various factoring techniques to factor each expression. Step 2: Reduce the fraction. To reduce the fraction, cancel out expressions in the numerator and denominator that are exactly the same. Step 3: Rewrite any remaining expressions in the numerator and denominator.

Example 1 – Simplify:

 Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator.

Example 2 – Simplify:

 Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator.

Example 3 – Simplify:

 Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator.

Example 4 – Simplify:

 Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator.

Example 5 – Simplify:

 Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator.