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A) \( \Large \left(x+1\right) \left(x-1\right) \left(x^{2}+x+1\right) \) |

B) \( \Large \left(x+1\right)^{2} \left(x-1\right) \left(x^{2}-x+1\right) \) |

C) \( \Large \left(x-1\right)^{2} \left(x-1\right) \left(x^{2}+x+1\right) \) |

D) \( \Large \left(x-1\right)^{2} \left(x+1\right) \left(x^{2}-x+1\right) \) |

Correct Answer:

C) \( \Large \left(x-1\right)^{2} \left(x-1\right) \left(x^{2}+x+1\right) \) |

Description for Correct answer:

\( \Large \left(x^{3}-1\right)= \left(x-1\right) \left(x^{2}+x+1\right) \)

\( \Large x^{2}-1 = \left(x+1\right) \left(x-1\right) \)

\( \Large \left(x-1\right)^{2} = \left(x-1\right) \left(x-1\right) \)

LCM \( \Large \left(x-1\right)^{2} \left(x+1\right) \left(x^{2}+x+1\right) \)

\( \Large \left(x^{3}-1\right)= \left(x-1\right) \left(x^{2}+x+1\right) \)

\( \Large x^{2}-1 = \left(x+1\right) \left(x-1\right) \)

\( \Large \left(x-1\right)^{2} = \left(x-1\right) \left(x-1\right) \)

LCM \( \Large \left(x-1\right)^{2} \left(x+1\right) \left(x^{2}+x+1\right) \)

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

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