Concept:Use the method of factorisation by grouping to split the expression into common binomial factors.Explanation:Consider the expression: 4m2+12m−8m−24Group the terms as: (4m2+12m)+(−8m−24)Factor each group separately:4m2+12m=4m(m+3)−8m−24=−8(m+3)So the expression becomes: 4m(m+3)−8(m+3)Now take out the common factor (m+3):4m(m+3)−8(m+3)=(m+3)(4m−8)Since one given factor is (4m−8), the other factor must be (m+3).Answer:B. m+3