Identify Grouping: Step Title: Identify the GroupingConcise Step Description: Group terms with common factors to prepare for factoring by grouping.Step Calculation: Group (3vw+3v) and (8w+8).Step Output: (3vw+3v)+(8w+8)
Factor Common Factors: Step Title: Factor Out the Common FactorsConcise Step Description: Factor out the common factors from each group.Step Calculation: Factor out 3v from the first group and 8 from the second group.Step Output: 3v(w+1)+8(w+1)
Factor by Grouping: Step Title: Factor by GroupingConcise Step Description: Since (w+1) is common in both groups, factor it out.Step Calculation: Factor out (w+1).Step Output: (w+1)(3v+8)