2. Adding/Subtracting Rational Expressions Mr. Peter Richard Will be instructionalizing you on:

3. Adding and Subtracting Rational Expressions with the Same Denominator In the Nut Shell To add or subtract rational expressions with the same denominator, just add or subtract the numerators and keep the same denominator. * No grouping symbol for the final answer.

5. EXAMPLE 1 Add. Write each answer in lowest terms. Solution: Adding Rational Expressions with the Same Denominator Slide 7.4 - 4

6. Example 2:

7. Example 3: 3x+1 Factor the Numerator!

8. 3.10 Add/Subtract Rational Expressions Example 1 Add and subtract with the same denominator Find the sum or difference. Add numerators. Simplify. Factor and divide out common factor. Simplify.

9. 3.10 Add/Subtract Rational Expressions Checkpoint. Find the sum or difference.

10. Quiz Time!! See Worksheets for Quiz and Homework!

11. Adding and Subtracting Rational Expressions with Different Denominators In the Nut Shell To add or subtract rational expressions with different denominators, first find the LCD (the least common multiple of the denominators). To find the LCD of two or more algebraic expressions, first factor each expression. Then use each factor the greatest number of times it occurs in any factorizations. * No grouping symbol for the final answer.

12. Example 3: Example 4: Example 5: