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: Example 1

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

Example 2 – Simplify: Example 2

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

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Example 3 – Simplify: Example 3

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

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Example 4 – Simplify: Example 4

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

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Example 5 – Simplify: Example 5

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

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