Identify Grouping Method: Step Title: Identify the Grouping MethodConcise Step Description: Since the expression is a cubic polynomial, we will use the grouping method to factor by grouping the terms into pairs.Step Calculation: Group the terms as (18x3+10x2) and (9x+5).Step Output: Grouped terms: (18x3+10x2)+(9x+5)
Factor by Grouping: Step Title: Factor by GroupingConcise Step Description: Factor out the greatest common factor from each group.Step Calculation: From the first group 18x3+10x2, the greatest common factor is 2x2, resulting in 2x2(9x+5). From the second group (9x+5), the greatest common factor is 1, so it remains (9x+5).Step Output: Factored groups: 2x2(9x+5)+1(9x+5)
Factor Out Common Binomial: Step Title: Factor Out the Common BinomialConcise Step Description: Factor out the common binomial factor from the factored groups.Step Calculation: The common binomial factor is (9x+5), so we factor it out from both terms.Step Output: Factored form: (9x+5)(2x2+1)