Let * be a binary operation on set `Q-[1]` defined by `a*b=a+b-a b` for all`a , b in Q-[1]dot` F...

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let * be a binary operation on set Q-{1} defined by a*b= a + b - ab ; a, b ⋳ Q-{1} find the identity

Let * be a binary operation on Q - {-1} defined by a * b = a + b + ab for all, a, b ∈ Q - {-1}. Then

Show that G=R-1 is an abelian group under the binary operation 𝑎∗𝑏=𝑎+𝑏−𝑎𝑏, ∀ 𝑎,𝑏∈𝐺.

Let `A=Q x Q` and let * be a binary operation on A defined by `(a , b)*(c , d)=(a c , b+a d)` fo...

Let * be a binary operation defined on set Q-{1} by the rule a∗b=a+b-ab. Then, the identity element

Let * be a binary operation Q defined by, a*b=a-b. Examine these binary operations for associativity

Let `**` be the binary operation on N defined by `a ** b = HdotCdotFdot` of a and b. Is `**` com...

Let Q-1 be the set of all rational numbers except -1 and o be a binary operation defined by aob=a+b+