#1**+1 **

First, factor the second term:

x^{2} - 9 is a difference in squares so it equals (x + 3)(x - 3)

This means the terms are now:

(x - 3)^{2} , (x + 3)(x - 3) , (x + 3)^{2} , and (x - 1)^{2}

Now the factors of these terms are: (x - 3) , (x + 3) , and (x - 1)

The least common multiple (LCM) is just the term with the largest power that holds these factors.

This means the LCM is (x - 3)^{2}(x + 3)^{2}(x - 1)^{2}, which is also your answer :)

Logarhythm Feb 14, 2021

#2**+1 **

Answer: (x-1)^2*(x-3)^2*(x+3)^2

https://www.polymathlove.com/special-polynomials/least-common-measure/lcm-of-polynomials-calculator.html#c=lcm_algstepslcm&v230=%2528x%2520-%25201%2529%255E2%252C%2520%2528x%2520%2B%25203%2529%255E2%252C%2520%2520x%255E%25282%2529-9%252C%2520%2528x-3%2529%255E2

pizzaisawesome972 Feb 14, 2021