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Question: let a and b be two natural numbers follow the...

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Let A and B be two natural numbers. Follow the proof given below and identify which step(s) is (are) not valid Step # 2 Equation Justification We start with this assumption Multiply by A on each side AXA BXA A -B-AB-B (commutativity); substract B on both side 4 (A-B)(A+B)-(A-B)BIdentity: A--B-(A-B(A+B; factor B on right side Simplify: divide by A-B on each side From step 1, A-B, therefore A+B-B+B By definition, B+B- 2B Simplify bv B B+B = B

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