Arrange the steps in the correct order to prove the polynomial identity for the cube of a binomial representing a difference: (m - n) = m - 3m²n + 3mn- n³. 1]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
shot 2021-11-23 10.02.34 AM.png
* O Q Q
Arrange the steps in the correct order to prove the polynomial identity for the cube of a binomial representing a difference:
(m -n) = m - 3m²n+ 3mn? - n°.
(m² - 2mn + n²) m – (m² - 2mn + n?) n
3 (m² – 2mn + n') (m – n)
= = m³ - 2m²n+ mn?- m²n + 2mn2- n3
%3D
= = m³ - 3m²n+ 3mn
n3
= (m – n) = (m– n) (m – n) (m – n)
II
Transcribed Image Text:shot 2021-11-23 10.02.34 AM.png * O Q Q Arrange the steps in the correct order to prove the polynomial identity for the cube of a binomial representing a difference: (m -n) = m - 3m²n+ 3mn? - n°. (m² - 2mn + n²) m – (m² - 2mn + n?) n 3 (m² – 2mn + n') (m – n) = = m³ - 2m²n+ mn?- m²n + 2mn2- n3 %3D = = m³ - 3m²n+ 3mn n3 = (m – n) = (m– n) (m – n) (m – n) II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education