Chapter 6 Section 4 Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Adding and Subtracting Rational Expressions Add rational expressions.

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Presentation transcript:

Chapter 6 Section 4

Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Adding and Subtracting Rational Expressions Add rational expressions having the same denominator. Add rational expressions having different denominators. Subtract rational expressions

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objective 1 Add rational expressions having the same denominator. Slide 6.4-3

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Add rational expressions having the same denominator. Adding Rational Expressions (Same Denominator) If and (Q ≠ 0) are rational expressions, then ADD the numerators and keep the same denominator. Slide Add. Write each answer in lowest terms.

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objective 2 Add rational expressions having different denominators. Slide 6.4-6

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Add rational expressions having different denominators. Adding Rational Expressions (Different Denominators) Step 1: Find the least common denominator (LCD). Step 2: Rewrite each rational expression as an equivalent rational expression with the LCD as the denominator. Step 3: Add the numerators to get the numerator of the sum. The LCD is the denominator of the sum. Step 4: Write in lowest terms using the fundamental property. Slide 6.4-7

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Add. Write each answer in lowest terms. Solution: Slide Adding Rational Expressions (Different Denominators) CLASSROOM EXAMPLE 2

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solution: Add. Write the answer in lowest terms. Slide Adding Rational Expressions CLASSROOM EXAMPLE 3

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solution: Add. Write the answer in lowest terms. Slide Adding Rational Expressions CLASSROOM EXAMPLE 4

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Add. Write the answer in lowest terms. Solution: Slide Adding Rational Expressions (Denominators Are Opposites) CLASSROOM EXAMPLE 5

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objective 3 Subtract rational expressions. Slide

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solution: Sign errors often occur in subtraction problems. Be sure to use parentheses after the subtraction sign. Slide Subtracting Rational Expressions (Same Denominator) Subtract. Write the answer in lowest terms. CLASSROOM EXAMPLE 6

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Subtract. Write the answer in lowest terms. Solution: Slide Subtracting Rational Expressions (Different Denominators) CLASSROOM EXAMPLE 7

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solution: Slide Subtracting Rational Expressions Subtract. Write the answer in lowest terms. CLASSROOM EXAMPLE 9

Copyright © 2012, 2008, 2004 Pearson Education, Inc. Subtract. Write the answer in lowest terms. Solution: Slide Subtracting Rational Expressions (Denominators Are Opposites) CLASSROOM EXAMPLE 8