Concept:Factorisation by grouping is used when a polynomial can be split into pairs with common factors.Explanation:Group the terms as (m3−m2)+(2m−2).Factor out the common factor from each group: m2(m−1)+2(m−1).Now (m−1) is common in both terms.Take (m−1) out: (m−1)(m2+2).This matches option D.Answer:(m2+2)(m−1) which is option D.