Question

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

Answer 1

First, factor the equation.

You should get: (x^2 + 1) and (x+1) (x-1)

Your end result should be: (x^2 +1)(x+1)(x-1)

Answer 2

x^3 -x^2 +x-1 =x^2(x-1) +x-1 =(x-1)(x^2 +1)
x^2 -1 =(x-1)(x+1)