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
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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
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