Define the binary operator ⋆ by: a ⋆ b = a + 4 b Simplify each of the following. Do the order of operations (do what is in parentheses first). a) ( 6 ⋆ 7 ) ⋆ 4 = b) ( 2 ⋆ 5 ) ⋆ 3 = Step by step, please

Define the binary operator ⋆ by: a ⋆ b = a + 4 b Simplify each of the following. Do the order of operations (do what is in parentheses first). a) ( 6 ⋆ 7 ) ⋆ 4 = b) ( 2 ⋆ 5 ) ⋆ 3 = Step by step, please

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.4: Binary Operations

Problem 6E

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Question

Define the binary operator ⋆ by: a ⋆ b = a + 4 b Simplify each of the following. Do the order of operations (do what is in parentheses first). a) ( 6 ⋆ 7 ) ⋆ 4 = b) ( 2 ⋆ 5 ) ⋆ 3 =

Step by step, please

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Follow-up Question

Define the binary operator ⋄⋄ by:

a⋄b=7a+7b

and □ by:

a□b=a2+b2

Find the following. When simplifying, use the order of operations, that is, do the parentheses first.

(4 ⋄ 5)□ 2=

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