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Prove that (a + b)2 = a2 + 2ab + b2 for all a, b in a ring R iff R is commutative
Chapter 24, Problem 24.17(choose chapter or problem)
QUESTION:
Prove that (a + b)2 = a2 + 2ab + b2 for all a, b in a ring R iff R is commutative.
Questions & Answers
QUESTION:
Prove that (a + b)2 = a2 + 2ab + b2 for all a, b in a ring R iff R is commutative.
ANSWER:Step 1 of 2
Consider the expression,
Solve the above equation as,