Concept:Factorize each polynomial to cancel common factors.Explanation:The given expression is (x2+x+1)(x2−8x+7)(x3−1)(x2−9x+14).Write x3−1 as (x−1)(x2+x+1).Factor x2−9x+14 as (x−2)(x−7).Factor x2−8x+7 as (x−1)(x−7).Cancel (x2+x+1) from numerator and denominator.Cancel (x−1) and (x−7) from numerator and denominator.The remaining factor is (x−2).Answer:(x−2), which corresponds to option B.