how can i prove this   a(b+(c+d))=(ab+ac)+ad

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

how can i prove this

 

a(b+(c+d))=(ab+ac)+ad

 

Expert Solution
Explaination

To prove this we just have to prove that Left hand side i,e a(b + (c + d )) 

is (ab + ac )+ad

Now one more thing to notice here is (ab + ac ) + ad can be written as ab + ac + ad because that doesn't make any difference 

Hence we have to prove 

Now we can try to prove them a(b + (c + d ))  = ab + ac + ad

Also there are two method one as i mentioned here above and second is we just consider some values for both the equations and then fill those values in those equation and check if the answer we get for both of them is equal or not 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Representation of Polynomial
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education