Explanation Approach: In elementary algebra , FOIL is a mnemonic for the standard method of multiplying two binomials hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product: 1) F irst ("first" terms of each binomial are multiplied together) 2) O uter ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second) 3) I nner ("inside" terms are multiplied—second term of the first binomial and first term of the second) 4) L ast ("last" terms of each binomial are multiplied) The general form is: ( a + b ) ( c + d ) = a c ︸ first + a d ︸ outside + b c ︸ i nside + b d ︸ last Calculation: Given: ( 2 x + 5 ) ( 3 x − 2 ) Now we have to simplify by using the FOIL method of multiplication. By using the FOIL method, we multiply the first, outside, inside, and the last element of each bracket and we add them. a = 2 x , b = 5 , c = 3 x , d = − 2 ( 2 x + 5 ) ( 3 x − 2 ) = 2 x ⋅ 3 x + 2</

Elementary Geometry for College Students

6th Edition

ISBN: 9781285195698

Author: Daniel C. Alexander, Geralyn M. Koeberlein

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…

Videos

Question

Chapter A.2, Problem 9E

To determine

To multiply:

(2x+5)(3x−2)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter A.2, Problem 8E

Chapter A.2, Problem 10E

Students have asked these similar questions

Melissa claims the triangles are similar. Is her claim correct? If her claim is correct, state the transformations that map △⁢M⁢N⁢O △MNO onto △⁢P⁢R⁢Q. △PRQ. If her claim is not correct, explain why.

Question content area top Part 1 Find the measure of ABC for the congruent triangles ABC and Upper A prime Upper B prime Upper C primeA′B′C′. 79 degrees79° 1533 2930 Part 1 m ABCequals=enter your response heredegrees

In the figure below, m₁ || m² and ms ms. 42° m₁ A m3 m4 to What is the value of x? 'ms •m₂ ○ A. 42 ○ B. 48 ○ C. 138 ○ D. 158

Chapter A Solutions

Elementary Geometry for College Students

Ch. A.1 - Name the four parts of a mathematical system....Ch. A.1 - Prob. 2E Ch. A.1 - Which axiom of equality is illustrated in each of...Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - Prob. 13E Ch. A.1 - Nine pegs are evenly spaced on a board so that the...Ch. A.1 - The four owners of a shop realize a loss of 240 in...Ch. A.1 - Bill works at a weekend convention by selling...Ch. A.1 - Use the Distributive Axiom to simplify each...Ch. A.1 - Use the Distributive Axiom to simplify each...Ch. A.1 - Simplify each expression: a 6+4 c 16x2y9x2y b...Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - Prob. 25E Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.1 - Prob. 31E Ch. A.1 - Prob. 32E Ch. A.2 - In Exercises 1 to 6, simplify by combining similar...Ch. A.2 - Prob. 2E Ch. A.2 - Prob. 3E Ch. A.2 - Prob. 4E Ch. A.2 - Prob. 5E Ch. A.2 - Prob. 6E Ch. A.2 - Prob. 7E Ch. A.2 - Prob. 8E Ch. A.2 - Prob. 9E Ch. A.2 - Prob. 10E Ch. A.2 - Prob. 11E Ch. A.2 - Prob. 12E Ch. A.2 - Prob. 13E Ch. A.2 - Prob. 14E Ch. A.2 - Prob. 15E Ch. A.2 - Prob. 16E Ch. A.2 - Prob. 17E Ch. A.2 - Prob. 18E Ch. A.2 - Prob. 19E Ch. A.2 - Prob. 20E Ch. A.2 - Prob. 21E Ch. A.2 - Prob. 22E Ch. A.2 - Prob. 23E Ch. A.2 - Prob. 24E Ch. A.2 - Prob. 25E Ch. A.2 - Prob. 26E Ch. A.2 - Prob. 27E Ch. A.2 - Prob. 28E Ch. A.2 - Prob. 29E Ch. A.2 - Prob. 30E Ch. A.2 - Prob. 31E Ch. A.2 - Prob. 32E Ch. A.2 - Prob. 33E Ch. A.2 - Prob. 34E Ch. A.2 - Prob. 35E Ch. A.2 - Prob. 36E Ch. A.3 - If line segment AB and line segment CD in the...Ch. A.3 - Prob. 2E Ch. A.3 - Prob. 3E Ch. A.3 - Prob. 4E Ch. A.3 - Prob. 5E Ch. A.3 - Prob. 6E Ch. A.3 - Prob. 7E Ch. A.3 - Prob. 8E Ch. A.3 - Prob. 9E Ch. A.3 - Of several angles, the degree measures are related...Ch. A.3 - Prob. 11E Ch. A.3 - Prob. 12E Ch. A.3 - Prob. 13E Ch. A.3 - Prob. 14E Ch. A.3 - Prob. 15E Ch. A.3 - Prob. 16E Ch. A.3 - Prob. 17E Ch. A.3 - Prob. 18E Ch. A.3 - Prob. 19E Ch. A.3 - Prob. 20E Ch. A.3 - Prob. 21E Ch. A.3 - Prob. 22E Ch. A.3 - Prob. 23E Ch. A.3 - Prob. 24E Ch. A.3 - Prob. 25E Ch. A.3 - Prob. 26E Ch. A.3 - Prob. 27E Ch. A.3 - Prob. 28E Ch. A.3 - Prob. 29E Ch. A.3 - Prob. 30E Ch. A.3 - Prob. 31E Ch. A.3 - Prob. 32E Ch. A.4 - Prob. 1E Ch. A.4 - Note: Exercises preceded by an asterisk are of a...Ch. A.4 - Prob. 3E Ch. A.4 - Prob. 4E Ch. A.4 - Prob. 5E Ch. A.4 - Prob. 6E Ch. A.4 - In Exercises 5 to 8, factor each difference of two...Ch. A.4 - In Exercises 5 to 8, factor each difference of two...Ch. A.4 - Prob. 9E Ch. A.4 - Prob. 10E Ch. A.4 - In Exercises 9 to 16, factor each trinomial...Ch. A.4 - Prob. 12E Ch. A.4 - Prob. 13E Ch. A.4 - Prob. 14E Ch. A.4 - Prob. 15E Ch. A.4 - Prob. 16E Ch. A.4 - Prob. 17E Ch. A.4 - Prob. 18E Ch. A.4 - Prob. 19E Ch. A.4 - Prob. 20E Ch. A.4 - Prob. 21E Ch. A.4 - Prob. 22E Ch. A.4 - Prob. 23E Ch. A.4 - Prob. 24E Ch. A.4 - Prob. 25E Ch. A.4 - Prob. 26E Ch. A.4 - Prob. 27E Ch. A.4 - Prob. 28E Ch. A.4 - In Exercises 25 to 32, solve each quadratic...Ch. A.4 - In Exercises 25 to 32, solve each quadratic...Ch. A.4 - Prob. 31E Ch. A.4 - Prob. 32E Ch. A.4 - Prob. 33E Ch. A.4 - Prob. 34E Ch. A.4 - Prob. 35E Ch. A.4 - Prob. 36E Ch. A.4 - Given that the area of the rectangle shown is 66,...Ch. A.4 - Determine the length x by solving either the...Ch. A.4 - Find the length a by solving the equation...Ch. A.4 - Prob. 40E Ch. A.4 - Prob. 41E Ch. A.5 - Use your calculator to find the approximate value...Ch. A.5 - Prob. 2E Ch. A.5 - Prob. 3E Ch. A.5 - Prob. 4E Ch. A.5 - Prob. 5E Ch. A.5 - Prob. 6E Ch. A.5 - Prob. 7E Ch. A.5 - Prob. 8E Ch. A.5 - Use your calculator to verify that the following...Ch. A.5 - Prob. 10E Ch. A.5 - Prob. 11E Ch. A.5 - Prob. 12E Ch. A.5 - Prob. 13E Ch. A.5 - Prob. 14E Ch. A.5 - Prob. 15E Ch. A.5 - Prob. 16E Ch. A.5 - Prob. 17E Ch. A.5 - Prob. 18E Ch. A.5 - Prob. 19E Ch. A.5 - Prob. 20E Ch. A.5 - Prob. 21E Ch. A.5 - Prob. 22E Ch. A.5 - Prob. 23E Ch. A.5 - Prob. 24E Ch. A.5 - Prob. 25E Ch. A.5 - Prob. 26E Ch. A.5 - Prob. 27E Ch. A.5 - Prob. 28E Ch. A.5 - Prob. 29E Ch. A.5 - Prob. 30E Ch. A.5 - Prob. 31E Ch. A.5 - Prob. 32E Ch. A.5 - Prob. 33E Ch. A.5 - Prob. 34E Ch. A.5 - Prob. 35E Ch. A.5 - Prob. 36E Ch. A.5 - Prob. 37E Ch. A.5 - Prob. 38E Ch. A.5 - Prob. 39E

Knowledge Booster

$Geometry$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University