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Apply the distributive property to factor out the greatest common factor.

18 d+12=

Apply the distributive property to factor out the greatest common factor. $\newline$ $18 d+12=$

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Q. Apply the distributive property to factor out the greatest common factor.

\newline

18 d+12=

Identify GCF: To apply the distributive property and factor out the greatest common factor (GCF) from the expression $18d + 12$ , we first need to determine the GCF of the coefficients $18$ and $12$ . The factors of $18$ are $1$ , $2$ , $3$ , $6$ , $9$ , and $18$ . The factors of $12$ are $1$ , $2$ , $3$ , $18$ $4$ , $6$ , and $12$ . The greatest common factor of $18$ and $12$ is $6$ .
Factor out GCF: Now that we have identified the GCF as $6$ , we can factor it out from the expression $18d + 12$ using the distributive property. $\newline$ This means we will divide each term by $6$ and multiply the result by $6$ to get the factored expression. $\newline$ Factoring out $6$ from $18d$ gives us $6 \times (18d / 6) = 6 \times 3d = 18d$ . $\newline$ Factoring out $6$ from $12$ gives us $6 \times (12 / 6) = 6 \times 2 = 12$ .
Combine factored terms: Combining the factored terms, we get the final factored expression: $\newline$ $6 \times 3d + 6 \times 2$ $\newline$ This simplifies to: $\newline$ $6(3d + 2)$

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