A binary operation `@` on `QQ-{1}` is defined by `a**b=a+b-ab` for all `a,binQQ-{1}.` Prove that

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Show that the binary operation * on R defined by a*b=a + b + ab for all a, b ⋳ R is commutative as w Show that the binary operation * on R defined by a*b=a + b + ab for all a, b ⋳ R is commutative as w
An operation `@` on `QQ-{-1}` is defined by `a@b=a+b+ab` for `a,binQQ-{-1}.` Find the identity An operation `@` on `QQ-{-1}` is defined by `a@b=a+b+ab` for `a,binQQ-{-1}.` Find the identity
Prove that the binary operation `**` on `RR` defined by `a**b=a+b+ab` for all `a,binRR` is Prove that the binary operation `**` on `RR` defined by `a**b=a+b+ab` for all `a,binRR` is
On the set Z of integers a binary operation * is defined by a*b=ab+1 for all a, b∈Z. Prove that * is On the set Z of integers a binary operation * is defined by a*b=ab+1 for all a, b∈Z. Prove that * is
Prove that the binary operation `@` defined on `QQ` by `a@b=a-b+ab` for all a,b in `QQ` is neither Prove that the binary operation `@` defined on `QQ` by `a@b=a-b+ab` for all a,b in `QQ` is neither
Show that G=R-1 is an abelian group under the binary operation 𝑎∗𝑏=𝑎+𝑏−𝑎𝑏, ∀ 𝑎,𝑏∈𝐺. Show that G=R-1 is an abelian group under the binary operation 𝑎∗𝑏=𝑎+𝑏−𝑎𝑏, ∀ 𝑎,𝑏∈𝐺.
Let * be a binary operation defined on Q+ by the rule a∗b=ab/3 for all a,b∈Q^+. The inverse of 4∗6 Let * be a binary operation defined on Q+ by the rule a∗b=ab/3 for all a,b∈Q^+. The inverse of 4∗6
Consider the binary operation * defined on Q - {1} by the rule a * b = a + b - ab for all a, b ∈ Q Consider the binary operation * defined on Q - {1} by the rule a * b = a + b - ab for all a, b ∈ Q