Factor. 18wx + 6w + 3x + 1 ______

Identify Grouping Method: Step Title: Identify the Grouping Method Concise Step Description: Group terms in the expression to prepare for factoring by grouping. Calculation: Group the terms as (18wx + 6w) and (3x + 1).Factor Out Common Factors: Step Title: Factor Out the Common Factors from Each Group Concise Step Description: Factor out the greatest common factor from each group. Calculation: From the first group (18wx + 6w), factor out 6w to get 6w(3x + 1). From the second group (3x + 1), the common factor is 1, so it remains (3x + 1).Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Factor out the common binomial factor from the grouped terms. Calculation: Since both groups contain the common binomial factor (3x + 1), factor it out to get (3x + 1)(6w + 1).

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Q. Factor.

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18wx + 6w + 3x + 1

Identify Grouping Method: Step Title: Identify the Grouping Method $\newline$ Concise Step Description: Group terms in the expression to prepare for factoring by grouping. $\newline$ Calculation: Group the terms as $(18wx + 6w)$ and $(3x + 1)$ .
Factor Out Common Factors: Step Title: Factor Out the Common Factors from Each Group $\newline$ Concise Step Description: Factor out the greatest common factor from each group. $\newline$ Calculation: From the first group $18wx + 6w$ , factor out $6w$ to get $6w(3x + 1)$ . From the second group $(3x + 1)$ , the common factor is $1$ , so it remains $(3x + 1)$ .
Factor by Grouping: Step Title: Factor by Grouping $\newline$ Concise Step Description: Factor out the common binomial factor from the grouped terms. $\newline$ Calculation: Since both groups contain the common binomial factor $(3x + 1)$ , factor it out to get $(3x + 1)(6w + 1)$ .