The L.C.M of x³ - 1 and x² + x + 1 is
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Factor of
x^3 - 1 = (x - 1) (x^2 + x + 1)
hence LCM will be
(x - 1) ( x^2 + x + 1)
= x^3 - 1
( For understanding, you can think of x^3 - 1 as 12 and.(x^2 + x + 1) as 4, here (x - 1) will be 3, However LCM will be 12)
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Step-by-step explanation:
LCM of the given expressions is the product of each expressions with heighest power
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