savannahvargas512
26.05.2021 •
Mathematics
The operation is defined on the set R of real numbers by ab=ab+a.
Determine whether or not the operation is associative.
Please I need help.
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Ответ:
ab=ab+a
We need to check the following:
(ab)c=a(bc) or not
LHS
(ab)c=(ab+a)c
=(ab+a)c+(ab+a)
=abc+ac+ab+a
RHS
a(bc)=a(bc+b)
=a(bc+b)+a
=abc+ab+a
as LHS ≠ RHS, the operation is not associative
Step-by-step explanation:
Ответ:
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