Question

Find the least common multiple of x^3 - x^2 + x - 1 and x^2 - 1. Write the answer in factored form

Answer 1

is it (x+1)(x-1)(x^2 - 1)

Answer 2

isnt (x+1)(x-1) = (x^2 - 1)?

Answer 3

yeah

Answer 4

so would it be (x^2 + 1)

Answer 5

first step factor

x^2 - x^2 + x - 1 = (x-1)(x^2 + 1)

x^2 - 1 = (x+1)(x-1)

therefore LCM would be (x+1)(x-1)(x^2 + 1)

so yeah it's (x^2 + 1)(x^2 - 1)

but you can simplify that if you want hehe

Answer 6

thank you

Answer 7

welcome :D