Factor. 4mn + 8m + 9n + 18 ______

Identify the Grouping: Step Title: Identify the Grouping Concise Step Description: Group terms that have common factors to prepare for factoring by grouping. Step Calculation: Group (4mn + 8m) and (9n + 18) together. Step Output: (4mn + 8m) + (9n + 18)Factor Out Common Factors: Step Title: Factor Out the Common Factors Concise Step Description: Factor out the greatest common factor from each group. Step Calculation: Factor out 4m from the first group and 9 from the second group. Step Output: 4m(n + 2) + 9(n + 2)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two terms. Step Calculation: Factor out (n + 2) from both terms. Step Output: (n + 2)(4m + 9)

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Algebra 2

Factor polynomials

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Q. Factor.

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4mn + 8m + 9n + 18

Identify the Grouping: Step Title: Identify the Grouping $\newline$ Concise Step Description: Group terms that have common factors to prepare for factoring by grouping. $\newline$ Step Calculation: Group $(4mn + 8m)$ and $(9n + 18)$ together. $\newline$ Step Output: $(4mn + 8m) + (9n + 18)$
Factor Out Common Factors: Step Title: Factor Out the Common Factors $\newline$ Concise Step Description: Factor out the greatest common factor from each group. $\newline$ Step Calculation: Factor out $4m$ from the first group and $9$ from the second group. $\newline$ Step Output: $4m(n + 2) + 9(n + 2)$
Factor Out Common Binomial: Step Title: Factor Out the Common Binomial $\newline$ Concise Step Description: Factor out the common binomial factor from the two terms. $\newline$ Step Calculation: Factor out $(n + 2)$ from both terms. $\newline$ Step Output: $(n + 2)(4m + 9)$