Beginning Algebra, 11th Edition

420 CHAPTER 7 Rational Expressions and Applications OBJECTIVES The quotient of two integers (with denominator not 0), such as or ...

NOTE The numerator of a rational expression may be any real number.If the numerator equals 0 and the denominator does not equal ...

Writing in Lowest Terms Write each rational expression in lowest terms. (a) Factor. (Step 1) = Fundamental property (Step 2) 3 5 ...

SECTION 7.1 The Fundamental Property of Rational Expressions 423 NOTE The numerator orthe denominator could have been factored i ...

424 CHAPTER 7 Rational Expressions and Applications In Example 5,notice that y-xis the opposite(or additive inverse) of x-y. Quo ...

The distributive property can also be applied. can also be written 2 x- 3 2 . 12 x+ 32 2 SECTION 7.1 The Fundamental Propert ...

426 CHAPTER 7 Rational Expressions and Applications Complete solution available on the Video Resources on DVD Find the numerical ...

Exercises 61– 82 involve factoring by grouping (Section ...

93.Concept Check Which one of these rational expressions is notequivalent to? A. B. C. D. 94.Concept Check Make the correct choi ...

SECTION 7.2 Multiplying and Dividing Rational Expressions 429 OBJECTIVES Multiplying and Dividing Rational Expressions 7.2 1 Mul ...

Multiplying Rational Expressions Multiply. Write the answer in lowest terms. Multiply numerators. Multiply denominators. Factor. ...

Dividing Rational Expressions Divide. Write the answer in lowest terms. Multiply by the reciprocal. Power rule for exponents Mul ...

Dividing Rational Expressions Divide. Write the answer in lowest terms. Multiply by the reciprocal. Multiply numerators. Multipl ...

SECTION 7.2 Multiplying and Dividing Rational Expressions 433 Complete solution available on the Video Resources on DVD 1.Concep ...

Brain Busters Exercises 55 – 60 involve grouping symbols (Section 1.2),factoring by ...

SECTION 7.3 Least Common Denominators 435 OBJECTIVES Least Common Denominators 7.3 1 Find the least common denominator for a gro ...

Finding the LCD Find the LCD for and Step 1 Factor each denominator. Step 2 The greatest number of times 2 appears is two, the g ...

OBJECTIVE 2 Write equivalent rational expressions.Once the LCD has been found, the next step in preparing to add or subtract two ...

(b) Factor the denominator in each rational expression. 12 p p 1 p+ 82 = ? p 1 p+ 821 p- 42 12 p p^2 + 8 p = ? p^3 + 4 p^2 - 32 ...

, 26. , , , 28. , , , 30. , , 32. , 33. , , 35. , 36. , , 38. , , 40. , , , , , , , , , 16 z^2 + 2 z ...