Find the LCM of \( x^{3}-x^{2}+x-1 \) and \( x^{3}-2 x^{2}+ \) \( x-2 \) (a) \( (x+1)(x-1) \) (b...

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Find the LCM of \( x^{3}-x^{2}+x-1 \) and \( x^{3}-2 x^{2}+ \) \( x-2 \)
(a) \( (x+1)(x-1) \)
(b) \( x-1 \)
(c) \( \left(x^{2}+1\right)(x-1)(x-2) \)
(d) \( \left(x^{2}+1\right)(x+1)(x-2) \)
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