logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
0 votes

If * is binary operation defined in N as a*b=$a^3+b^3$ then * is

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • If a*b=b*a then * is commutative
  • If (a*b)*c=a*(b*c) then * is associative
$a^3+b^3=b^3+a^3$ but $(a^3+b^3)^3+c^3\neq\:a^3+(b^3+c^3)^3$

$\Rightarrow\:$ * is commutative but not associative.

answered May 1, 2013 by rvidyagovindarajan_1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...