Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 11.6, Problem 24PPS
To determine

The expansion of the binomial (y3x)6

Expert Solution & Answer
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Answer to Problem 24PPS

The fourth term is:

  540x3y3

Explanation of Solution

Given information:

The given expression is as:

  (y3x)6

Concept used:

  1. The binomial expansion for (x+y)n is as:

  (x+y)n=r=0n(nr)xnryr

Where the coefficient for term xnryr is (nr)=n!r!(nr)!

Calculation:

Since, the given expression is as:

  (y3x)6

On comparing this with (x+y)n , the value of n is 6

  n=6

On employing binomial expansion, we can express given expression as

  (y3x)6=r=06(6r)y6r(3x)r

Therefore, the expand for (y3x)6 is

  (y3x)6=r=06(6r)y6r(3x)r=6!(60)!0!(y)60(3x)0+6!(61)!1!(y)61(3x)1+6!(62)!2!(y)62(3x)2+6!(63)!3!(y)63(3x)3+6!(64)!4!(y)64(3x)4+6!(65)!5!(y)65(3x)5+6!(66)!6!(y)66(3x)6=729x61458x5y+1215x4y2540x3y3+135x2y418xy5+y6y=3x

Thus, the fourth term of the given binomial is,

  540x3y3

Chapter 11 Solutions

Algebra 2

Ch. 11.1 - Prob. 1CYUCh. 11.1 - Prob. 2CYUCh. 11.1 - Prob. 3CYUCh. 11.1 - Prob. 4CYUCh. 11.1 - Prob. 5CYUCh. 11.1 - Prob. 6CYUCh. 11.1 - Prob. 7CYUCh. 11.1 - Prob. 8CYUCh. 11.1 - Prob. 9CYUCh. 11.1 - Prob. 10CYUCh. 11.1 - Prob. 11CYUCh. 11.1 - Prob. 12CYUCh. 11.1 - Prob. 13CYUCh. 11.1 - Prob. 14CYUCh. 11.1 - Prob. 15CYUCh. 11.1 - Prob. 16CYUCh. 11.1 - Prob. 17CYUCh. 11.1 - Prob. 18CYUCh. 11.1 - Prob. 19CYUCh. 11.1 - Prob. 20CYUCh. 11.1 - Prob. 21PPSCh. 11.1 - Prob. 22PPSCh. 11.1 - Prob. 23PPSCh. 11.1 - Prob. 24PPSCh. 11.1 - Prob. 25PPSCh. 11.1 - Prob. 26PPSCh. 11.1 - Prob. 27PPSCh. 11.1 - Prob. 28PPSCh. 11.1 - Prob. 29PPSCh. 11.1 - Prob. 30PPSCh. 11.1 - Prob. 31PPSCh. 11.1 - Prob. 32PPSCh. 11.1 - Prob. 33PPSCh. 11.1 - Prob. 34PPSCh. 11.1 - Prob. 35PPSCh. 11.1 - Prob. 36PPSCh. 11.1 - Prob. 37PPSCh. 11.1 - Prob. 38PPSCh. 11.1 - Prob. 39PPSCh. 11.1 - Prob. 40PPSCh. 11.1 - Prob. 41PPSCh. 11.1 - Prob. 42PPSCh. 11.1 - Prob. 43PPSCh. 11.1 - Prob. 44PPSCh. 11.1 - Prob. 45PPSCh. 11.1 - Prob. 46PPSCh. 11.1 - 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Prob. 4CYUCh. 11.2 - Prob. 5CYUCh. 11.2 - Prob. 6CYUCh. 11.2 - Prob. 7CYUCh. 11.2 - Prob. 8CYUCh. 11.2 - Prob. 9CYUCh. 11.2 - Prob. 10CYUCh. 11.2 - Prob. 11CYUCh. 11.2 - Prob. 12CYUCh. 11.2 - Prob. 13CYUCh. 11.2 - Prob. 14PPSCh. 11.2 - Prob. 15PPSCh. 11.2 - Prob. 16PPSCh. 11.2 - Prob. 17PPSCh. 11.2 - Prob. 18PPSCh. 11.2 - Prob. 19PPSCh. 11.2 - Prob. 20PPSCh. 11.2 - Prob. 21PPSCh. 11.2 - Prob. 22PPSCh. 11.2 - Prob. 23PPSCh. 11.2 - Prob. 24PPSCh. 11.2 - Prob. 25PPSCh. 11.2 - Prob. 26PPSCh. 11.2 - Prob. 27PPSCh. 11.2 - Prob. 28PPSCh. 11.2 - Prob. 29PPSCh. 11.2 - Prob. 30PPSCh. 11.2 - Prob. 31PPSCh. 11.2 - Prob. 32PPSCh. 11.2 - Prob. 33PPSCh. 11.2 - Prob. 34PPSCh. 11.2 - Prob. 35PPSCh. 11.2 - Prob. 36PPSCh. 11.2 - Prob. 37PPSCh. 11.2 - Prob. 38PPSCh. 11.2 - Prob. 39PPSCh. 11.2 - Prob. 40PPSCh. 11.2 - Prob. 41PPSCh. 11.2 - Prob. 42PPSCh. 11.2 - Prob. 43PPSCh. 11.2 - Prob. 44PPSCh. 11.2 - Prob. 45PPSCh. 11.2 - Prob. 46PPSCh. 11.2 - Prob. 47PPSCh. 11.2 - Prob. 48PPSCh. 11.2 - Prob. 49PPSCh. 11.2 - 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Prob. 97SCh. 11.2 - Prob. 98SCh. 11.2 - Prob. 99SCh. 11.2 - Prob. 100SCh. 11.3 - Prob. 1CYPCh. 11.3 - Prob. 2ACYPCh. 11.3 - Prob. 2BCYPCh. 11.3 - Prob. 3CYPCh. 11.3 - Prob. 4ACYPCh. 11.3 - Prob. 4BCYPCh. 11.3 - Prob. 5ACYPCh. 11.3 - Prob. 5BCYPCh. 11.3 - Prob. 6CYPCh. 11.3 - Prob. 1CYUCh. 11.3 - Prob. 2CYUCh. 11.3 - Prob. 3CYUCh. 11.3 - Prob. 4CYUCh. 11.3 - Prob. 5CYUCh. 11.3 - Prob. 6CYUCh. 11.3 - Prob. 7CYUCh. 11.3 - Prob. 8CYUCh. 11.3 - Prob. 9CYUCh. 11.3 - Prob. 10CYUCh. 11.3 - Prob. 11CYUCh. 11.3 - Prob. 12CYUCh. 11.3 - Prob. 13CYUCh. 11.3 - Prob. 14CYUCh. 11.3 - Prob. 15CYUCh. 11.3 - Prob. 16CYUCh. 11.3 - Prob. 17PPSCh. 11.3 - Prob. 18PPSCh. 11.3 - Prob. 19PPSCh. 11.3 - Prob. 20PPSCh. 11.3 - Prob. 21PPSCh. 11.3 - Prob. 22PPSCh. 11.3 - Prob. 23PPSCh. 11.3 - Prob. 24PPSCh. 11.3 - Prob. 25PPSCh. 11.3 - Prob. 26PPSCh. 11.3 - Prob. 27PPSCh. 11.3 - Prob. 28PPSCh. 11.3 - Prob. 29PPSCh. 11.3 - Prob. 30PPSCh. 11.3 - Prob. 31PPSCh. 11.3 - Prob. 32PPSCh. 11.3 - Prob. 33PPSCh. 11.3 - Prob. 34PPSCh. 11.3 - Prob. 35PPSCh. 11.3 - Prob. 36PPSCh. 11.3 - Prob. 37PPSCh. 11.3 - Prob. 38PPSCh. 11.3 - Prob. 39PPSCh. 11.3 - Prob. 40PPSCh. 11.3 - Prob. 41PPSCh. 11.3 - Prob. 42PPSCh. 11.3 - Prob. 43PPSCh. 11.3 - Prob. 44PPSCh. 11.3 - Prob. 45PPSCh. 11.3 - Prob. 46PPSCh. 11.3 - Prob. 47PPSCh. 11.3 - Prob. 48PPSCh. 11.3 - Prob. 49PPSCh. 11.3 - Prob. 50PPSCh. 11.3 - Prob. 51PPSCh. 11.3 - Prob. 52PPSCh. 11.3 - Prob. 53PPSCh. 11.3 - Prob. 54PPSCh. 11.3 - Prob. 55PPSCh. 11.3 - Prob. 56PPSCh. 11.3 - Prob. 57PPSCh. 11.3 - Prob. 58PPSCh. 11.3 - Prob. 59PPSCh. 11.3 - Prob. 60PPSCh. 11.3 - Prob. 61PPSCh. 11.3 - Prob. 62PPSCh. 11.3 - Prob. 63PPSCh. 11.3 - Prob. 64HPCh. 11.3 - Prob. 65HPCh. 11.3 - Prob. 66HPCh. 11.3 - Prob. 67HPCh. 11.3 - Prob. 68HPCh. 11.3 - Prob. 69HPCh. 11.3 - Prob. 70HPCh. 11.3 - Prob. 71HPCh. 11.3 - Prob. 72HPCh. 11.3 - Prob. 73HPCh. 11.3 - Prob. 74HPCh. 11.3 - Prob. 75HPCh. 11.3 - Prob. 76HPCh. 11.3 - Prob. 77STPCh. 11.3 - Prob. 78STPCh. 11.3 - Prob. 79STPCh. 11.3 - Prob. 80STPCh. 11.3 - Prob. 81STPCh. 11.3 - Prob. 82STPCh. 11.3 - Prob. 83STPCh. 11.3 - Prob. 84STPCh. 11.3 - Prob. 85STPCh. 11.3 - Prob. 86SCh. 11.3 - Prob. 87SCh. 11.3 - Prob. 88SCh. 11.3 - Prob. 89SCh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.4 - Prob. 1ACYPCh. 11.4 - Prob. 1BCYPCh. 11.4 - Prob. 2ACYPCh. 11.4 - Prob. 2BCYPCh. 11.4 - Prob. 3CYPCh. 11.4 - Prob. 4CYPCh. 11.4 - Prob. 1CYUCh. 11.4 - Prob. 2CYUCh. 11.4 - Prob. 3CYUCh. 11.4 - Prob. 4CYUCh. 11.4 - Prob. 5CYUCh. 11.4 - Prob. 6CYUCh. 11.4 - Prob. 7CYUCh. 11.4 - Prob. 8CYUCh. 11.4 - Prob. 9CYUCh. 11.4 - Prob. 10CYUCh. 11.4 - Prob. 11CYUCh. 11.4 - Prob. 12CYUCh. 11.4 - Prob. 13CYUCh. 11.4 - Prob. 14CYUCh. 11.4 - Prob. 15CYUCh. 11.4 - Prob. 16PPSCh. 11.4 - Prob. 17PPSCh. 11.4 - Prob. 18PPSCh. 11.4 - Prob. 19PPSCh. 11.4 - Prob. 20PPSCh. 11.4 - Prob. 21PPSCh. 11.4 - Prob. 22PPSCh. 11.4 - Prob. 23PPSCh. 11.4 - Prob. 24PPSCh. 11.4 - Prob. 25PPSCh. 11.4 - Prob. 26PPSCh. 11.4 - Prob. 27PPSCh. 11.4 - Prob. 28PPSCh. 11.4 - Prob. 29PPSCh. 11.4 - Prob. 30PPSCh. 11.4 - Prob. 31PPSCh. 11.4 - Prob. 32PPSCh. 11.4 - Prob. 33PPSCh. 11.4 - Prob. 34PPSCh. 11.4 - Prob. 35PPSCh. 11.4 - Prob. 36PPSCh. 11.4 - Prob. 37PPSCh. 11.4 - Prob. 38PPSCh. 11.4 - Prob. 39PPSCh. 11.4 - Prob. 40PPSCh. 11.4 - Prob. 41PPSCh. 11.4 - Prob. 42PPSCh. 11.4 - Prob. 43PPSCh. 11.4 - Prob. 44PPSCh. 11.4 - Prob. 45PPSCh. 11.4 - Prob. 46PPSCh. 11.4 - Prob. 47PPSCh. 11.4 - Prob. 48PPSCh. 11.4 - Prob. 49PPSCh. 11.4 - Prob. 50PPSCh. 11.4 - Prob. 51PPSCh. 11.4 - Prob. 52PPSCh. 11.4 - Prob. 53PPSCh. 11.4 - Prob. 54PPSCh. 11.4 - Prob. 55PPSCh. 11.4 - Prob. 56PPSCh. 11.4 - Prob. 57PPSCh. 11.4 - Prob. 58PPSCh. 11.4 - Prob. 59PPSCh. 11.4 - Prob. 60HPCh. 11.4 - Prob. 61HPCh. 11.4 - Prob. 62HPCh. 11.4 - Prob. 63HPCh. 11.4 - Prob. 64HPCh. 11.4 - Prob. 65HPCh. 11.4 - Prob. 66HPCh. 11.4 - Prob. 67HPCh. 11.4 - Prob. 68HPCh. 11.4 - Prob. 69HPCh. 11.4 - Prob. 70HPCh. 11.4 - Prob. 71HPCh. 11.4 - Prob. 72STPCh. 11.4 - Prob. 73STPCh. 11.4 - Prob. 74SCh. 11.4 - Prob. 75SCh. 11.4 - Prob. 76SCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.5 - Prob. 1CYPCh. 11.5 - Prob. 2ACYPCh. 11.5 - Prob. 2BCYPCh. 11.5 - Prob. 2CCYPCh. 11.5 - Prob. 3CYPCh. 11.5 - Prob. 4CYPCh. 11.5 - Prob. 1CYUCh. 11.5 - Prob. 2CYUCh. 11.5 - Prob. 3CYUCh. 11.5 - Prob. 4CYUCh. 11.5 - Prob. 5CYUCh. 11.5 - Prob. 6CYUCh. 11.5 - Prob. 7CYUCh. 11.5 - Prob. 8CYUCh. 11.5 - Prob. 9CYUCh. 11.5 - Prob. 10CYUCh. 11.5 - Prob. 11CYUCh. 11.5 - Prob. 12PPSCh. 11.5 - Prob. 13PPSCh. 11.5 - Prob. 14PPSCh. 11.5 - Prob. 15PPSCh. 11.5 - Prob. 16PPSCh. 11.5 - Prob. 17PPSCh. 11.5 - Prob. 18PPSCh. 11.5 - Prob. 19PPSCh. 11.5 - Prob. 20PPSCh. 11.5 - Prob. 21PPSCh. 11.5 - Prob. 22PPSCh. 11.5 - Prob. 23PPSCh. 11.5 - Prob. 24PPSCh. 11.5 - Prob. 25PPSCh. 11.5 - Prob. 26PPSCh. 11.5 - Prob. 27PPSCh. 11.5 - Prob. 28PPSCh. 11.5 - Prob. 29PPSCh. 11.5 - Prob. 30PPSCh. 11.5 - Prob. 31PPSCh. 11.5 - Prob. 32PPSCh. 11.5 - Prob. 33PPSCh. 11.5 - Prob. 34PPSCh. 11.5 - Prob. 35PPSCh. 11.5 - Prob. 36PPSCh. 11.5 - 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Prob. 11CYUCh. 11.6 - Prob. 12CYUCh. 11.6 - Prob. 13CYUCh. 11.6 - Prob. 14CYUCh. 11.6 - Prob. 15PPSCh. 11.6 - Prob. 16PPSCh. 11.6 - Prob. 17PPSCh. 11.6 - Prob. 18PPSCh. 11.6 - Prob. 19PPSCh. 11.6 - Prob. 20PPSCh. 11.6 - Prob. 21PPSCh. 11.6 - Prob. 22PPSCh. 11.6 - Prob. 23PPSCh. 11.6 - Prob. 24PPSCh. 11.6 - Prob. 25PPSCh. 11.6 - Prob. 26PPSCh. 11.6 - Prob. 27PPSCh. 11.6 - Prob. 28PPSCh. 11.6 - Prob. 29PPSCh. 11.6 - Prob. 30PPSCh. 11.6 - Prob. 31PPSCh. 11.6 - Prob. 32PPSCh. 11.6 - Prob. 33PPSCh. 11.6 - Prob. 34HPCh. 11.6 - Prob. 35HPCh. 11.6 - Prob. 36HPCh. 11.6 - Prob. 37HPCh. 11.6 - Prob. 38HPCh. 11.6 - Prob. 39HPCh. 11.6 - Prob. 40HPCh. 11.6 - Prob. 41HPCh. 11.6 - Prob. 42HPCh. 11.6 - Prob. 43STPCh. 11.6 - Prob. 44STPCh. 11.6 - Prob. 45STPCh. 11.6 - Prob. 46STPCh. 11.6 - Prob. 47STPCh. 11.6 - Prob. 48STPCh. 11.6 - Prob. 49STPCh. 11.6 - Prob. 50SCh. 11.6 - Prob. 51SCh. 11.6 - Prob. 52SCh. 11.7 - Prob. 1CYPCh. 11.7 - Prob. 2CYPCh. 11.7 - Prob. 3CYPCh. 11.7 - Prob. 1CYUCh. 11.7 - Prob. 2CYUCh. 11.7 - 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Prob. 50STPCh. 11.7 - Prob. 51SCh. 11.7 - Prob. 52SCh. 11.7 - Prob. 53SCh. 11.7 - Prob. 54SCh. 11.7 - Prob. 55SCh. 11.7 - Prob. 56SCh. 11.7 - Prob. 57SCh. 11.7 - Prob. 58SCh. 11.7 - Prob. 59SCh. 11.7 - Prob. 60SCh. 11.7 - Prob. 61SCh. 11.7 - Prob. 62SCh. 11 - Prob. 1QCCh. 11 - Prob. 2QCCh. 11 - Prob. 3QCCh. 11 - Prob. 4QCCh. 11 - Prob. 5QCCh. 11 - Prob. 6QCCh. 11 - Prob. 7QCCh. 11 - Prob. 8QCCh. 11 - Prob. 9QCCh. 11 - Prob. 10QCCh. 11 - Prob. 11QCCh. 11 - Prob. 12QCCh. 11 - Prob. 13QCCh. 11 - Prob. 14QCCh. 11 - Prob. 1MCQCh. 11 - Prob. 2MCQCh. 11 - Prob. 3MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - Prob. 7MCQCh. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 12MCQCh. 11 - Prob. 13MCQCh. 11 - Prob. 14MCQCh. 11 - Prob. 15MCQCh. 11 - Prob. 16MCQCh. 11 - Prob. 17MCQCh. 11 - Prob. 18MCQCh. 11 - Prob. 19MCQCh. 11 - Prob. 20MCQCh. 11 - Prob. 1SGRCh. 11 - Prob. 2SGRCh. 11 - Prob. 3SGRCh. 11 - Prob. 4SGRCh. 11 - Prob. 5SGRCh. 11 - 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ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
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Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
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Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
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Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
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College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
ALGEBRAIC EXPRESSIONS & EQUATIONS | GRADE 6; Author: SheenaDoria;https://www.youtube.com/watch?v=fUOdon3y1hU;License: Standard YouTube License, CC-BY
Algebraic Expression And Manipulation For O Level; Author: Maths Solution;https://www.youtube.com/watch?v=MhTyodgnzNM;License: Standard YouTube License, CC-BY
Algebra for Beginners | Basics of Algebra; Author: Geek's Lesson;https://www.youtube.com/watch?v=PVoTRu3p6ug;License: Standard YouTube License, CC-BY
Introduction to Algebra | Algebra for Beginners | Math | LetsTute; Author: Let'stute;https://www.youtube.com/watch?v=VqfeXMinM0U;License: Standard YouTube License, CC-BY