Final: One Fraction

Part of the Polynomials & Rational Expressions section of Coddy's Algebra 2 journey. Lesson 49 of 51.

Write the difference on the board as one fraction, with its top multiplied out and nothing left to cancel. Look closely at the two bottoms before you start.

Challenge

Write $\frac{4}{{x}^{2}-9}-\frac{1}{x-3}$ as one fraction.

Try it yourself

\frac{4}{x^{2}-9}-\frac{1}{x-3}

Write it as one fraction

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Polynomials & Rational Expressions

1Polynomial Long Division

How Long Division Works The Remainder Theorem A Missing Term Recap: Long Division

4Polynomial Equations

Common Factor First Grouping to Solve Fourth Powers Recap: Polynomial Equations

7Adding and Subtracting

Same Bottom Different Bottoms Subtracting Factor the Bottoms First Recap: Adding Fractions

10Variation

Direct Variation Inverse Variation Work Together Recap: Variation

2Remainders and Factors

The Factor Theorem Finding a Missing Number Using a Known Factor Recap: Remainders and Factors

5Sign Charts

Between the Roots Outside the Roots A Negative Leading Term Reading a Sign Chart Recap: Sign Charts

8Rational Equations

Clearing Fractions x in the Bottom Cross-Multiplying A False Answer One True, One False Recap: Rational Equations

11Final Challenges

Final: Divide It Out Final: Every RootFinal: One FractionFinal: Check the Answer Final: The Sign Chart

3Factoring Higher Degree

Factor by Grouping Grouping All the Way Difference of Cubes Sum of Cubes A Quadratic in Disguise Recap: Factoring

6Rational Expressions

Cancelling Factors Excluded Values Multiplying Dividing Recap: Rational Expressions

9Rational Inequalities

Signs of a Fraction Including the Edge Recap: Rational Inequalities