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Rico says the lcm (least common multiple) of x²-1 and (x-1)² is (x+1)(x-1) dennis says it is (x+1)(x-1)(x-1) who is the correct? explain why

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Answer:

Neither is correct.  The factors of x^2 - 1 are (x + 1) and (x - 1). The factors of (x - 1)^2 are (x - 1) and (x - 1). Combining them gives you (x + 1)(x - 1)(x - 1) but that’s like saying the LCM of 4 and 6 is 2 x 2 x 3. The LCM of 4 and 6 is 12. The LCM of x^2 - 1 and (x - 1)^2 is x^3 - x^2 - x + 1

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