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

12+20=

Apply the distributive property to factor out the greatest common factor. $\newline$ $12+20=$

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

\newline

12+20=

Identify GCF of $12$ and $20$ : Identify the greatest common factor (GCF) of $12$ and $20$ . $\newline$ To find the GCF, we list the factors of each number: $\newline$ Factors of $12$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$ $\newline$ Factors of $20$ : $1$ , $2$ , $4$ , $20$ $5$ , $20$ $6$ , $20$ $\newline$ The greatest common factor is the largest factor that both numbers share. $\newline$ The GCF of $12$ and $20$ is $4$ .
Use distributive property to factor out GCF: Use the distributive property to factor out the GCF from the expression $12 + 20$ . $\newline$ The distributive property states that $a(b + c) = ab + ac$ . $\newline$ We can factor out the GCF $(4)$ from each term in the expression: $\newline$ $4(12 \div 4) + 4(20 \div 4)$
Complete factoring by dividing each term: Complete the factoring by dividing each term by the GCF and writing the expression. $\newline$ $4(3) + 4(5)$ $\newline$ This simplifies to: $\newline$ $4 \times 3 + 4 \times 5$
Combine factored terms to finish expression: Combine the factored terms to finish the expression. $\newline$ $4(3 + 5)$ $\newline$ Now, add the terms inside the parentheses: $\newline$ $4(8)$
Multiply GCF by sum inside parentheses: Multiply the GCF by the sum inside the parentheses to get the final factored expression. $\newline$ $4 \times 8 = 32$

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