Intermediate Algebra (11th edition)

As shown in Example 3,the quotient can be simplified. The following statement summarizes this result. a - a = a - 11 a 2 = 1 - 1 ...

(b) Factor. Fundamental property (c) Write as Factor. Fundamental property (d) Factor. Multiply; lowest terms (e) Factor. = Lowe ...

Dividing Rational Expressions Divide. (a) Multiply by the reciprocal. Factor. Multiply; lowest terms = 4 5 z = 2 z 9 ^2 # 9 5 z# ...

Concept Check As review, multiply or divide the rational numbers as indicated. Write answers in lowest terms. 16. 17 ...

40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. Write each rational expression in lowest terms. See Example 3. 55. 5 ...

85. 86. 87. 88. 89. 90. 91. 92. Brain Busters Multiply or divide as indicated. 93. 94. 95. 96. Add or subtract as indicated. See ...

(b) Lowest terms (c) Factor. Lowest terms (d) Add. Factor. Lowest terms NOW TRY OBJECTIVE 2 Find a least common denominator.We a ...

Finding Least Common Denominators Suppose that the given expressions are denominators of fractions. Find the LCD for each group ...

Adding and Subtracting Rational Expressions (Different Denominators) Add or subtract as indicated. (a) The LCD for 2pand 8pis 8p ...

Combine like terms in the numerator. Factor the numerator. Lowest terms (b) The LCD is. Fundamental property Subtract the numera ...

Adding and Subtracting Three Rational Expressions Add and subtract as indicated. Factor the third denominator. Add and subtract ...

Adding Rational Expressions Add. Factor each denominator. Add. Distributive property = 7 x+ 20 1 x+ 5221 x+ 22 = 5 x+ 10 + 2 x+ ...

29. , 30. , 31. ,, 32. ,, 33. , 34. , 35. , 36. , ,,y 38. ,,x ,, 40. ,, 41.Concept Check Consider the following incorrectwork. ...

79. 80. Add or subtract as indicated. Write all answers in lowest terms. See Examples 7 and 8.* 8 13 r- 122 + 2 3 r- 1 - 6 3 1 p ...

380 CHAPTER 7 Rational Expressions and Functions OBJECTIVES A complex fractionis a quotient having a fraction in the numerator, ...

Write as a division problem. Multiply by the reciprocal of. (Step 2) Multiply and simplify. (Step 3) NOW TRY = 2 y+ 1 3 y- 2 3 y ...

(b) Distributive property (Step 2) Multiply. Multiply again. This rational expression is in lowest terms. NOW TRY = 2 p^3 - 2 p^ ...

(b) = xy y-x = y+x xy x (^2) y 2 1 y-x 21 y+ x 2 = y+x xy , y^2 - x^2 x^2 y^2 y+x xy y^2 - x^2 x^2 y^2 = y xy + x xy y^2 x^2 y^2 ...

(b) Write with positive exponents. Use Method 2. Multiply by the LCD, Use the distributive property in the numerator. = Lowest t ...

23. 24. 25. 26. 27. 28. y+ 3 y 4 y- 1 y y- 1 + 1 y x+ 2 x + 1 x+ 2 5 x + x x+ 2 p- p+ 2 4 3 4 5 2 p y- y- 3 3 4 9 + 2 3 y s- ...