Explanation Distributive property, a b + a c = a ( b + c ) . a 3 - b 3 = a - b ( a 2 + a b + b 2 ) Calculation: a. 2 + 5 n 3 n · 6 n + 3 5 n 2 - 3 n - 2 To factorise 5 n 2 - 3 n - 2 , Split the middle term - 3 n as - 5 n and + 2 n Replace - 3 n with - 5 n + 2 n in 5 n 2 - 3 n - 2 , 5 n 2 - 5 n + 2 n - 2 The above equation can be written as 5 n · n - 1 · 5 n + 2 · n - 1 · 2 Apply distributive property for first two terms and last two terms, 5 n · n - 1 · 5 n + 1 · 3 n - 1 · 2 = 5 n n - 1 + 2 ( n - 1 ) Again apply distributive property for 5 n n - 1 + 2 ( n - 1 ) 5 n n - 1 + 2 n - 1 = 5 n + 2 ( n - 1 ) So the factors are 5 n + 2 and ( n - 1 ) 5 n 2 - 3 n - 2 = 5 n + 2 ( n - 1 ) By distributive property, 6 n + 3 = 3 2 n + 1 Replace 5 n 2 - 3 n - 2 with 5 n + 2 ( n - 1 )

Beginning & Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780134193090

Author: Elayn Martin-Gay

Publisher: PEARSON

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Question

Chapter B.5, Problem 1P

To determine

a) To multiply:

a. 2+5n3n·6n+35n2-3n-2

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See solution

Chapter B.4, Problem 57E

Chapter B.5, Problem 2P

Chapter B Solutions

Beginning & Intermediate Algebra (6th Edition)

Ch. B.1 - Prob. 1P Ch. B.1 - Prob. 2P Ch. B.1 - Prob. 3P Ch. B.1 - Prob. 4P Ch. B.1 - Prob. 5P Ch. B.1 - Prob. 1E Ch. B.1 - Prob. 2E Ch. B.1 - Prob. 3E Ch. B.1 - Prob. 4E Ch. B.1 - Prob. 5E

Ch. B.1 - Prob. 6E Ch. B.1 - Prob. 7E Ch. B.1 - Prob. 8E Ch. B.1 - Prob. 9E Ch. B.1 - Prob. 10E Ch. B.1 - Prob. 11E Ch. B.1 - Prob. 12E Ch. B.1 - Prob. 13E Ch. B.1 - Prob. 14E Ch. B.1 - Prob. 15E Ch. B.1 - Prob. 16E Ch. B.1 - Prob. 17E Ch. B.1 - Prob. 18E Ch. B.1 - Prob. 19E Ch. B.1 - Prob. 20E Ch. B.1 - Prob. 21E Ch. B.1 - Prob. 22E Ch. B.1 - Prob. 23E Ch. B.1 - Prob. 24E Ch. B.1 - Prob. 25E Ch. B.1 - Prob. 26E Ch. B.1 - Prob. 27E Ch. B.1 - Prob. 28E Ch. B.1 - Prob. 29E Ch. B.1 - Prob. 30E Ch. B.1 - Prob. 31E Ch. B.1 - Prob. 32E Ch. B.1 - Prob. 33E Ch. B.1 - Prob. 34E Ch. B.1 - Prob. 35E Ch. B.1 - Prob. 36E Ch. B.1 - Prob. 37E Ch. B.1 - Prob. 38E Ch. B.1 - Prob. 39E Ch. B.1 - Prob. 40E Ch. B.1 - Prob. 41E Ch. B.1 - Prob. 42E Ch. B.1 - Prob. 43E Ch. B.1 - Prob. 44E Ch. B.1 - Prob. 45E Ch. B.1 - Prob. 46E Ch. B.1 - Prob. 47E Ch. B.1 - Prob. 48E Ch. B.1 - Prob. 49E Ch. B.1 - Prob. 50E Ch. B.1 - Prob. 51E Ch. B.1 - Prob. 52E Ch. B.1 - Prob. 53E Ch. B.1 - Prob. 54E Ch. B.1 - Prob. 55E Ch. B.1 - Prob. 56E Ch. B.2 - Prob. 1P Ch. B.2 - Prob. 2P Ch. B.2 - Prob. 3P Ch. B.2 - Prob. 4P Ch. B.2 - Prob. 1V Ch. B.2 - Prob. 2V Ch. B.2 - Prob. 3V Ch. B.2 - Prob. 4V Ch. B.2 - Prob. 5V Ch. B.2 - Prob. 6V Ch. B.2 - Prob. 7V Ch. B.2 - Prob. 8V Ch. B.2 - Prob. 9V Ch. B.2 - Prob. 10V Ch. B.2 - Prob. 11V Ch. B.2 - Prob. 12V Ch. B.2 - Prob. 1E Ch. B.2 - Prob. 2E Ch. B.2 - Prob. 3E Ch. B.2 - Prob. 4E Ch. B.2 - Prob. 5E Ch. B.2 - Prob. 6E Ch. B.2 - Prob. 7E Ch. B.2 - Prob. 8E Ch. B.2 - Prob. 9E Ch. B.2 - Prob. 10E Ch. B.2 - Prob. 11E Ch. B.2 - Prob. 12E Ch. B.2 - Prob. 13E Ch. B.2 - Prob. 14E Ch. B.2 - Prob. 15E Ch. B.2 - Prob. 16E Ch. B.2 - Prob. 17E Ch. B.2 - Prob. 18E Ch. B.2 - Prob. 19E Ch. B.2 - Prob. 20E Ch. B.2 - Prob. 21E Ch. B.2 - Prob. 22E Ch. B.2 - Prob. 23E Ch. B.2 - Prob. 24E Ch. B.2 - Prob. 25E Ch. B.2 - Prob. 26E Ch. B.2 - Prob. 27E Ch. B.2 - Prob. 28E Ch. B.2 - Prob. 29E Ch. B.2 - Prob. 30E Ch. B.2 - Prob. 31E Ch. B.2 - Prob. 32E Ch. B.2 - Prob. 33E Ch. B.2 - Prob. 34E Ch. B.2 - Prob. 35E Ch. B.2 - Prob. 36E Ch. B.2 - Prob. 37E Ch. B.2 - Prob. 38E Ch. B.2 - Prob. 39E Ch. B.2 - Prob. 40E Ch. B.2 - Prob. 41E Ch. B.2 - Prob. 42E Ch. B.2 - Prob. 43E Ch. B.2 - Prob. 44E Ch. B.2 - Prob. 45E Ch. B.2 - Prob. 46E Ch. B.2 - Prob. 47E Ch. B.2 - Prob. 48E Ch. B.2 - Prob. 49E Ch. B.2 - Prob. 50E Ch. B.2 - Prob. 51E Ch. B.2 - Prob. 52E Ch. B.2 - Prob. 53E Ch. B.2 - Prob. 54E Ch. B.2 - Prob. 55E Ch. B.2 - Prob. 56E Ch. B.2 - Prob. 57E Ch. B.2 - Prob. 58E Ch. B.2 - Prob. 59E Ch. B.2 - Prob. 60E Ch. B.2 - Prob. 61E Ch. B.2 - Prob. 62E Ch. B.2 - Prob. 63E Ch. B.2 - Prob. 64E Ch. B.2 - Prob. 65E Ch. B.2 - Prob. 66E Ch. B.3 - Prob. 1P Ch. B.3 - Prob. 2P Ch. B.3 - Prob. 3P Ch. B.3 - Prob. 1E Ch. B.3 - Prob. 2E Ch. B.3 - Prob. 3E Ch. B.3 - Prob. 4E Ch. B.3 - Prob. 5E Ch. B.3 - Prob. 6E Ch. B.3 - Prob. 7E Ch. B.3 - Prob. 8E Ch. B.3 - Prob. 9E Ch. B.3 - Prob. 10E Ch. B.3 - Prob. 11E Ch. B.3 - Prob. 12E Ch. B.3 - Prob. 13E Ch. B.3 - Prob. 14E Ch. B.3 - Prob. 15E Ch. B.3 - Prob. 16E Ch. B.3 - Prob. 17E Ch. B.3 - Prob. 18E Ch. B.3 - Prob. 19E Ch. B.3 - Prob. 20E Ch. B.3 - Prob. 21E Ch. B.3 - Prob. 22E Ch. B.3 - Prob. 23E Ch. B.3 - Prob. 24E Ch. B.3 - Prob. 25E Ch. B.3 - Prob. 26E Ch. B.3 - Prob. 27E Ch. B.3 - Prob. 28E Ch. B.3 - Prob. 29E Ch. B.3 - Prob. 30E Ch. B.3 - Prob. 31E Ch. B.3 - Prob. 32E Ch. B.3 - Prob. 33E Ch. B.3 - Prob. 34E Ch. B.3 - Prob. 35E Ch. B.3 - Prob. 36E Ch. B.3 - Prob. 37E Ch. B.3 - Prob. 38E Ch. B.3 - Prob. 39E Ch. B.3 - Prob. 40E Ch. B.3 - Prob. 41E Ch. B.3 - Prob. 42E Ch. B.4 - Prob. 1P Ch. B.4 - Prob. 2P Ch. B.4 - Prob. 1E Ch. B.4 - Prob. 2E Ch. B.4 - Prob. 3E Ch. B.4 - Prob. 4E Ch. B.4 - Prob. 5E Ch. B.4 - Prob. 6E Ch. B.4 - Prob. 7E Ch. B.4 - Prob. 8E Ch. B.4 - Prob. 9E Ch. B.4 - Prob. 10E Ch. B.4 - Prob. 11E Ch. B.4 - Prob. 12E Ch. B.4 - Prob. 13E Ch. B.4 - Prob. 14E Ch. B.4 - Prob. 15E Ch. B.4 - Prob. 16E Ch. B.4 - Prob. 17E Ch. B.4 - Prob. 18E Ch. B.4 - Prob. 19E Ch. B.4 - Prob. 20E Ch. B.4 - Prob. 21E Ch. B.4 - Prob. 22E Ch. B.4 - Prob. 23E Ch. B.4 - Prob. 24E Ch. B.4 - Prob. 25E Ch. B.4 - Prob. 26E Ch. B.4 - Prob. 27E Ch. B.4 - Prob. 28E Ch. B.4 - Prob. 29E Ch. B.4 - Prob. 30E Ch. B.4 - Prob. 31E Ch. B.4 - Prob. 32E Ch. B.4 - Prob. 33E Ch. B.4 - Prob. 34E Ch. B.4 - Prob. 35E Ch. B.4 - Prob. 36E Ch. B.4 - Prob. 37E Ch. B.4 - Prob. 38E Ch. B.4 - Prob. 39E Ch. B.4 - Prob. 40E Ch. B.4 - Prob. 41E Ch. B.4 - Prob. 42E Ch. B.4 - Prob. 43E Ch. B.4 - Prob. 44E Ch. B.4 - Prob. 45E Ch. B.4 - Prob. 46E Ch. B.4 - Prob. 47E Ch. B.4 - Prob. 48E Ch. B.4 - Prob. 49E Ch. B.4 - Prob. 50E Ch. B.4 - Prob. 51E Ch. B.4 - Prob. 52E Ch. B.4 - Prob. 53E Ch. B.4 - Prob. 54E Ch. B.4 - Prob. 55E Ch. B.4 - Prob. 56E Ch. B.4 - Prob. 57E Ch. B.5 - Prob. 1P Ch. B.5 - Prob. 2P Ch. B.5 - Prob. 3P Ch. B.5 - Prob. 4P Ch. B.5 - Prob. 1E Ch. B.5 - Prob. 2E Ch. B.5 - Prob. 3E Ch. B.5 - Prob. 4E Ch. B.5 - Prob. 5E Ch. B.5 - Prob. 6E Ch. B.5 - Prob. 7E Ch. B.5 - Prob. 8E Ch. B.5 - Prob. 9E Ch. B.5 - Prob. 10E Ch. B.5 - Prob. 11E Ch. B.5 - Prob. 12E Ch. B.5 - Prob. 13E Ch. B.5 - Prob. 14E Ch. B.5 - Prob. 15E Ch. B.5 - Prob. 16E Ch. B.5 - Prob. 17E Ch. B.5 - Prob. 18E Ch. B.5 - Prob. 19E Ch. B.5 - Prob. 20E Ch. B.5 - Prob. 21E Ch. B.5 - Prob. 22E Ch. B.5 - Prob. 23E Ch. B.5 - Prob. 24E Ch. B.5 - Prob. 25E Ch. B.5 - Prob. 26E Ch. B.5 - Prob. 27E Ch. B.5 - Prob. 28E Ch. B.5 - Prob. 29E Ch. B.5 - Prob. 30E Ch. B.5 - Prob. 31E Ch. B.5 - Prob. 32E Ch. B.5 - Prob. 33E

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