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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

The reason behind using FOIL and Binomial theorem for expanding the given binomial expressions. Binomial Theorem is easy to understand and simple to apply for expanding the binomial expressions where the power is more than 2 . Given information : The binomials are: 2 x + 3 2 and 2 x + 3 6 . Formula used: Binomial Theorem: Pascal's Triangle is used to expand binomial powers. For a positive integer n , a + b n = P 0 a n + P 1 a n − 1 b + P 2 a n − 2 b 2 + ...... + P n − 1 a b n − 1 + P n b n . Where P 0 , P 1 , ..... , P n are the coefficients of the n t h row of the Pascal's Triangle. Explanation : It is easy to apply FOIL for expanding binomial expressions up to the power 2 . So expand 2 x + 3 2 using FOIL as below: 2 x + 3 2 = 2 x + 3 2 x + 3 = 2 x 2 x + 3 + 3 2 x + 3 = 4 x 2 + 6 x + 6 x + 9 = 4 x 2 + 12 x + 9 Using FOIL for expanding 2 x + 3 6 will be a lengthy and time consuming method, so Binomial theorem will be used for its expansion. Therefore, Binomial Theorem is easy to understand and simple to apply for expanding the binomial expressions where the power is more than 2 .

The reason behind using FOIL and Binomial theorem for expanding the given binomial expressions. Binomial Theorem is easy to understand and simple to apply for expanding the binomial expressions where the power is more than 2 . Given information : The binomials are: 2 x + 3 2 and 2 x + 3 6 . Formula used: Binomial Theorem: Pascal's Triangle is used to expand binomial powers. For a positive integer n , a + b n = P 0 a n + P 1 a n − 1 b + P 2 a n − 2 b 2 + ...... + P n − 1 a b n − 1 + P n b n . Where P 0 , P 1 , ..... , P n are the coefficients of the n t h row of the Pascal's Triangle. Explanation : It is easy to apply FOIL for expanding binomial expressions up to the power 2 . So expand 2 x + 3 2 using FOIL as below: 2 x + 3 2 = 2 x + 3 2 x + 3 = 2 x 2 x + 3 + 3 2 x + 3 = 4 x 2 + 6 x + 6 x + 9 = 4 x 2 + 12 x + 9 Using FOIL for expanding 2 x + 3 6 will be a lengthy and time consuming method, so Binomial theorem will be used for its expansion. Therefore, Binomial Theorem is easy to understand and simple to apply for expanding the binomial expressions where the power is more than 2 .

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

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Expert Solution & Answer

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 5.7, Problem 31PPSE

Solution

To explain : The reason behind using FOIL and Binomial theorem for expanding the given binomial expressions.

Binomial Theorem is easy to understand and simple to apply for expanding the binomial expressions where the power is more than 2 .

Given information :

The binomials are: 2x+32 and 2x+36 .

Formula used:

Binomial Theorem: Pascal's Triangle is used to expand binomial powers. For a positive integer n,

a+bn=P0an+P1an−1b+P2an−2b2+......+Pn−1abn−1+Pnbn .

Where P0,P1,.....,Pn are the coefficients of the nth row of the Pascal's Triangle.

Explanation :

It is easy to apply FOIL for expanding binomial expressions up to the power 2 . So expand 2x+32 using FOIL as below:

2x+32=2x+32x+3=2x2x+3+32x+3=4x2+6x+6x+9=4x2+12x+9

Using FOIL for expanding 2x+36 will be a lengthy and time consuming method, so Binomial theorem will be used for its expansion.

Therefore, Binomial Theorem is easy to understand and simple to apply for expanding the binomial expressions where the power is more than 2 .

Chapter 5.7, Problem 30PPSE

Chapter 5.7, Problem 32PPSE

Chapter 5 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 5.1 - Prob. 1LC Ch. 5.1 - Prob. 2LC Ch. 5.1 - Prob. 3LC Ch. 5.1 - Prob. 4LC Ch. 5.1 - Prob. 5LC Ch. 5.1 - Prob. 6LC Ch. 5.1 - Prob. 7LC Ch. 5.1 - Prob. 8PPSE Ch. 5.1 - Prob. 9PPSE Ch. 5.1 - Prob. 10PPSE

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Prob. 28PPSE Ch. 5.9 - Prob. 29PPSE Ch. 5.9 - Prob. 30PPSE Ch. 5.9 - Prob. 31PPSE Ch. 5.9 - Prob. 32PPSE Ch. 5.9 - Prob. 33PPSE Ch. 5.9 - Prob. 34PPSE Ch. 5.9 - Prob. 35PPSE Ch. 5.9 - Prob. 36PPSE Ch. 5.9 - Prob. 37PPSE Ch. 5.9 - Prob. 38PPSE Ch. 5.9 - Prob. 39PPSE Ch. 5.9 - Prob. 40PPSE Ch. 5.9 - Prob. 41PPSE Ch. 5.9 - Prob. 42PPSE Ch. 5.9 - Prob. 43PPSE Ch. 5.9 - Prob. 44PPSE Ch. 5.9 - Prob. 45PPSE Ch. 5.9 - Prob. 46PPSE Ch. 5.9 - Prob. 47PPSE Ch. 5.9 - Prob. 48PPSE Ch. 5.9 - Prob. 49PPSE Ch. 5.9 - Prob. 50PPSE Ch. 5.9 - Prob. 51PPSE Ch. 5.9 - Prob. 52PPSE Ch. 5.9 - Prob. 53PPSE Ch. 5.9 - Prob. 54PPSE Ch. 5.9 - Prob. 55PPSE Ch. 5.9 - Prob. 56PPSE Ch. 5 - Prob. 1GR Ch. 5 - Prob. 2GR Ch. 5 - Prob. 3GR Ch. 5 - Prob. 4GR Ch. 5 - Prob. 5GR Ch. 5 - Prob. 6GR Ch. 5 - Prob. 7GR Ch. 5 - Prob. 8GR Ch. 5 - Prob. 9GR Ch. 5 - Prob. 10GR Ch. 5 - Prob. 11GR Ch. 5 - Prob. 12GR Ch. 5 - Prob. 13GR Ch. 5 - Prob. 14GR Ch. 5 - Prob. 15GR Ch. 5 - Prob. 16GR Ch. 5 - Prob. 17GR Ch. 5 - Prob. 18GR Ch. 5 - Prob. 1MCQ Ch. 5 - Prob. 2MCQ Ch. 5 - Prob. 3MCQ Ch. 5 - Prob. 4MCQ Ch. 5 - Prob. 5MCQ Ch. 5 - Prob. 6MCQ Ch. 5 - Prob. 7MCQ Ch. 5 - Prob. 8MCQ Ch. 5 - Prob. 9MCQ Ch. 5 - Prob. 10MCQ Ch. 5 - Prob. 11MCQ Ch. 5 - Prob. 12MCQ Ch. 5 - Prob. 13MCQ Ch. 5 - Prob. 14MCQ Ch. 5 - Prob. 15MCQ Ch. 5 - Prob. 16MCQ Ch. 5 - Prob. 17MCQ Ch. 5 - Prob. 18MCQ Ch. 5 - Prob. 19MCQ Ch. 5 - Prob. 1CV Ch. 5 - Prob. 2CV Ch. 5 - Prob. 3CV Ch. 5 - Prob. 4CV Ch. 5 - Prob. 5E Ch. 5 - Prob. 6E Ch. 5 - Prob. 7E Ch. 5 - Prob. 8E Ch. 5 - Prob. 9E Ch. 5 - Prob. 10E Ch. 5 - Prob. 11E Ch. 5 - Prob. 12E Ch. 5 - Prob. 13E Ch. 5 - Prob. 14E Ch. 5 - Prob. 15E Ch. 5 - Prob. 16E Ch. 5 - Prob. 17E Ch. 5 - Prob. 18E Ch. 5 - Prob. 19E Ch. 5 - Prob. 20E Ch. 5 - Prob. 21E Ch. 5 - Prob. 22E Ch. 5 - Prob. 23E Ch. 5 - Prob. 24E Ch. 5 - Prob. 25E Ch. 5 - Prob. 26E Ch. 5 - Prob. 27E Ch. 5 - Prob. 28E Ch. 5 - Prob. 29E Ch. 5 - Prob. 30E Ch. 5 - Prob. 31E Ch. 5 - Prob. 32E Ch. 5 - Prob. 33E Ch. 5 - Prob. 34E Ch. 5 - Prob. 35E Ch. 5 - Prob. 36E Ch. 5 - Prob. 37E Ch. 5 - Prob. 38E Ch. 5 - Prob. 39E Ch. 5 - Prob. 40E Ch. 5 - Prob. 41E Ch. 5 - Prob. 42E Ch. 5 - Prob. 43E Ch. 5 - Prob. 44E Ch. 5 - Prob. 45E Ch. 5 - Prob. 46E Ch. 5 - Prob. 47E Ch. 5 - Prob. 48E Ch. 5 - Prob. 49E Ch. 5 - Prob. 50E Ch. 5 - Prob. 51E Ch. 5 - Prob. 52E Ch. 5 - Prob. 53E Ch. 5 - Prob. 54E Ch. 5 - Prob. 55E Ch. 5 - Prob. 56E Ch. 5 - Prob. 57E Ch. 5 - Prob. 58E Ch. 5 - Prob. 59E Ch. 5 - Prob. 60E Ch. 5 - Prob. 61E Ch. 5 - Prob. 62E Ch. 5 - Prob. 63E Ch. 5 - Prob. 64E Ch. 5 - Prob. 65E Ch. 5 - Prob. 66E Ch. 5 - Prob. 67E Ch. 5 - Prob. 68E Ch. 5 - Prob. 69E Ch. 5 - Prob. 70E Ch. 5 - Prob. 71E Ch. 5 - Prob. 72E Ch. 5 - Prob. 73E Ch. 5 - Prob. 74E Ch. 5 - Prob. 75E Ch. 5 - Prob. 76E Ch. 5 - Prob. 77E Ch. 5 - Prob. 78E Ch. 5 - Prob. 79E Ch. 5 - Prob. 80E Ch. 5 - Prob. 81E Ch. 5 - Prob. 82E Ch. 5 - Prob. 83E Ch. 5 - Prob. 84E Ch. 5 - Prob. 85E Ch. 5 - Prob. 86E Ch. 5 - Prob. 87E Ch. 5 - Prob. 88E Ch. 5 - Prob. 1CT Ch. 5 - Prob. 2CT Ch. 5 - Prob. 3CT Ch. 5 - Prob. 4CT Ch. 5 - Prob. 5CT Ch. 5 - Prob. 6CT Ch. 5 - Prob. 7CT Ch. 5 - Prob. 8CT Ch. 5 - Prob. 9CT Ch. 5 - Prob. 10CT Ch. 5 - Prob. 11CT Ch. 5 - Prob. 12CT Ch. 5 - Prob. 13CT Ch. 5 - Prob. 14CT Ch. 5 - Prob. 15CT Ch. 5 - Prob. 16CT Ch. 5 - Prob. 17CT Ch. 5 - Prob. 18CT Ch. 5 - Prob. 19CT Ch. 5 - Prob. 20CT Ch. 5 - Prob. 21CT Ch. 5 - Prob. 22CT Ch. 5 - Prob. 23CT Ch. 5 - Prob. 1CCSR Ch. 5 - Prob. 2CCSR Ch. 5 - Prob. 3CCSR Ch. 5 - Prob. 4CCSR Ch. 5 - Prob. 5CCSR Ch. 5 - Prob. 6CCSR Ch. 5 - Prob. 7CCSR Ch. 5 - Prob. 8CCSR Ch. 5 - Prob. 9CCSR Ch. 5 - Prob. 10CCSR Ch. 5 - Prob. 11CCSR Ch. 5 - Prob. 12CCSR Ch. 5 - Prob. 13CCSR Ch. 5 - Prob. 14CCSR Ch. 5 - Prob. 15CCSR Ch. 5 - Prob. 16CCSR Ch. 5 - Prob. 17CCSR Ch. 5 - Prob. 18CCSR Ch. 5 - Prob. 19CCSR Ch. 5 - Prob. 20CCSR Ch. 5 - Prob. 21CCSR Ch. 5 - Prob. 22CCSR Ch. 5 - Prob. 23CCSR

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