Examine if the binary operation ""^(**...

Examine if the binary operation
`""^()R xx R toR` given by `a^()b=a+4b^(2)` is
associative.

Verified by Experts

The correct Answer is:

iIt is not associative .

Similar Questions

Explore conceptually related problems

Examine if the binary operation ""^(**)R xx R toR given by a^(**)b=a+4b^(2) is commutative.

The binary opertion ** R xx R to R is defined by a ** b = 2a + b. find (2 ** 3) **4.

Consider the binary operations ""^(**):RxxRtoR and o:RxxR defined by a^(**)b=|a-b| aob=a, AA a,b in R Examine, if o distributes over ""^(**) .

Consider the binary operation ""^(**) on N defined by a^(**)b="LCM" of a and b. Examine, if ""^(**) is associative

Consider the ninary operation ""^(**) on N defined by a^(**)b="HCF" of a and b. Examine, if ""^(**) is associative

Consider a binary operation ""^(**) on N defined by a^(**)b=a^(3)+b^(3),a,b in N , Examine, if ""^(**) is associative

Consider a binary operation ""^(**) on N defined by a^(**)b=a^(3)+b^(3),a,b in N , Examine, if ""^(**) is commutative

Consider the binary operation ""^(**) on N defined by a^(**)b="LCM" of a and b. Examine, if ""^(**) is commutative

Consider the ninary operation ""^(**) on N defined by a^(**)b="HCF" of a and b. Examine, if ""^(**) is commutative