Explanation Factorial notation: 1) n ! = n n - 1 n - 2 · … · 3 · 2 · 1 2) 0 ! = 1 3) n n - 1 ! = n ! 4) The Binomial Theorem: a + b n = a n + n ! 1 ! n - 1 ! a n - 1 b + n ! 2 ! n - 2 ! a n - 2 b 2 + n ! 3 ! n - 3 ! a n - 3 b 3 + … + n ! r ! n - r ! a n - r b r + … + b n Calculation: Given a - b 5 Let a = a , b = - b and n = 5 in the Binomial theorem a - b 5 = a 5 + 5 ! 1 ! 5 - 1 ! a 5 - 1 - b + 5 ! 2 ! 5 - 2 ! a 5 - 2 - b 2 + 5 ! 3 ! 5 - 3 ! a 5 - 3 - b 3 + 5 ! 4 ! 5 - 4 ! a 5 - 4 - b 4 + 5 ! 5 ! 5 - 5 ! a 5 - 5 - b 5 = a 5 + 5 · 4 · 3 · 2 · 1 1 ! 4 ! a 4 - b + 5 · 4 · 3 · 2 · 1 2 ! 3 ! a 3 - b 2 + 5 · 4 · 3 · 2 · 1 3 ! 2 ! a 2

Bundle: Webassign Printed Access Card For Gustafson/hughes' College Algebra, Single-term + Student Solutions Manual For Gustafson/hughes? College Algebra, 12th

12th Edition

ISBN: 9781337605304

Author: R. David Gustafson; Jeff Hughes

Publisher: Cengage Learning

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Chapter 8.CR, Problem 7E

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To expand: The expression a-b5

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Chapter 8.CR, Problem 6E

Chapter 8.CR, Problem 8E

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Chapter 8 Solutions

Bundle: Webassign Printed Access Card For Gustafson/hughes' College Algebra, Single-term + Student Solutions Manual For Gustafson/hughes? College Algebra, 12th

Ch. 8.1 - Self Check Expand: (p+q)3.Ch. 8.1 - Self Check Expand: (pq)3.Ch. 8.1 - Self Check Evaluate: a. 4! b. 7!Ch. 8.1 - Self Check Show that 4!3!=4!.Ch. 8.1 - Self Check Use the Binomial Theorem to expand...Ch. 8.1 - Self Check Use the Binomial Theorem to expand...Ch. 8.1 - Self Check Find the sixth term of the expansion in...Ch. 8.1 - Self Check Find the fifth term of the expansion in...Ch. 8.1 - Prob. 9SC Ch. 8.1 - Prob. 1E

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To expand: The expression a - b 5

Solution Summary: The author explains the Binomial Theorem: (a-b)5=an+

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To expand: The expression a-b5

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Chapter 8 Solutions