Group Terms: Step Title: Group TermsConcise Step Description: Group terms in the polynomial to find common factors.Step Calculation: Group (m3−3m2) and (5m−15).Step Output: (m3−3m2)+(5m−15)
Factor by Grouping: Step Title: Factor by GroupingConcise Step Description: Factor out the greatest common factor from each group.Step Calculation: Factor out m2 from the first group and 5 from the second group.Step Output: m2(m−3)+5(m−3)
Factor Out the Common Binomial: Step Title: Factor Out the Common BinomialConcise Step Description: Factor out the common binomial factor from the two groups.Step Calculation: Factor out (m−3).Step Output: (m−3)(m2+5)