SOLUTION: I have to find the LCM of these two expressions: X^3 - x^2 + x - 1 and x^2 - 1 please help thank you :)

Algebra ->  Rational-functions -> SOLUTION: I have to find the LCM of these two expressions: X^3 - x^2 + x - 1 and x^2 - 1 please help thank you :)      Log On


   

Question 184874: I have to find the LCM of these two expressions:
X^3 - x^2 + x - 1
and
x^2 - 1
please help
thank you :)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the LCM of these two expressions:
X^3 - x^2 + x - 1
and
x^2 - 1
-----------------------
Factor each form:
X^3 - x^2 + x - 1 = (x-1)(x^2+1)
x^2 -1 = (x-1)(x+1)
-----------------------------------
the least common multiple is (x-1)(x+1)(x^2+1)
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Cheers,
Stan H.