Explanation Given: The expression is ( 2 + 6 ) ( 3 2 − 2 5 ) . Formula used: The distributive property, ( a + b ) ( c + d ) = a c + a d + b c + b d Here, a , b , c and d are the real numbers. Calculation: Consider the following expression: ( 2 + 6 ) ( 3 2 − 2 5 ) Apply the distributive property: ( a + b ) ( c + d ) = a c + a d + b c + b d (

8th Edition

ISBN: 9780135909942

Author: TOBEY/SLATER

Publisher: PEARSON

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Chapter 8.3, Problem 40E

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To calculate: The simplified value of the following expression, (2+6)(32−25).

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Chapter 8.3, Problem 39E

Chapter 8.3, Problem 41E

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************* ********************************* Q.1) Classify the following statements as a true or false statements: a. If M is a module, then every proper submodule of M is contained in a maximal submodule of M. b. The sum of a finite family of small submodules of a module M is small in M. c. Zz is directly indecomposable. d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M. e. The Z-module has two composition series. Z 6Z f. Zz does not have a composition series. g. Any finitely generated module is a free module. h. If O→A MW→ 0 is short exact sequence then f is epimorphism. i. If f is a homomorphism then f-1 is also a homomorphism. Maximal C≤A if and only if is simple. Sup Q.4) Give an example and explain your claim in each case: Monomorphism not split. b) A finite free module. c) Semisimple module. d) A small submodule A of a module N and a homomorphism op: MN, but (A) is not small in M.

Chapter 8 Solutions

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The simplified value of the following expression, ( 2 + 6 ) ( 3 2 − 2 5 ) .

Solution Summary: The author explains how to calculate the simplified value of the provided expression, (sqrt2+

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To calculate: The simplified value of the following expression, (2+6)(32−25).

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Chapter 8 Solutions