Factor. 12m^3 + 18m^2 + 10m + 15 ______

Identify Common Factors: Look for common factors in each pair of terms. First, we look at the terms 12m^3 and 18m^2 and find the greatest common factor (GCF) which is 6m^2. 12m^3 + 18m^2 = 6m^2(2m + 3)Find GCF for 12m^3 and 18m^2: Now, we look at the terms 10m and 15 and find their GCF which is 5. 10m + 15 = 5(2m + 3)Find GCF for 10m and 15: We have factored both pairs of terms: 12m^3 + 18m^2 = 6m^2(2m + 3) 10m + 15 = 5(2m + 3) Now, we can see that both factored expressions contain the common binomial factor (2m + 3).Factor Pairs of Terms: Factor out the common binomial factor (2m + 3) from both expressions. Factored form: (6m^2 + 5)(2m + 3)

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Q. Factor.

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12m^3 + 18m^2 + 10m + 15

Identify Common Factors: Look for common factors in each pair of terms. $\newline$ First, we look at the terms $12m^3$ and $18m^2$ and find the greatest common factor (GCF) which is $6m^2$ . $\newline$ $12m^3 + 18m^2 = 6m^2(2m + 3)$
Find GCF for $12m^3$ and $18m^2$ : Now, we look at the terms $10m$ and $15$ and find their GCF which is $5$ . $\$10m + 15 = 5(2m + 3)$ )
Find GCF for $10m$ and $15$ : We have factored both pairs of terms: $\newline$ $12m^3 + 18m^2 = 6m^2(2m + 3)$ $\newline$ $10m + 15 = 5(2m + 3)$ $\newline$ Now, we can see that both factored expressions contain the common binomial factor $(2m + 3)$ .
Factor Pairs of Terms: Factor out the common binomial factor $(2m + 3)$ from both expressions. $\newline$ Factored form: $(6m^2 + 5)(2m + 3)$