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

12+80=

Apply the distributive property to factor out the greatest common factor. $\newline$ $12+80=$

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Evaluate natural logarithms

Full solution

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

\newline

12+80=

Identify GCF of $12$ and $80$ : Identify the greatest common factor (GCF) of $12$ and $80$ . $\newline$ To find the GCF, we list the factors of each number and find the largest factor they have in common. $\newline$ Factors of $12$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$ $\newline$ Factors of $80$ : $1$ , $2$ , $4$ , $80$ $5$ , $80$ $6$ , $80$ $7$ , $80$ $8$ , $80$ $9$ , $12$ $0$ , $80$ $\newline$ The GCF of $12$ and $80$ is $4$ .
Factor out GCF using distributive property: Use the distributive property to factor out the GCF from the expression $12 + 80$ . $\newline$ The distributive property states that $a(b + c) = ab + ac$ . We apply this in reverse to factor out the GCF. $\newline$ So, we write $12 + 80$ as $4(3) + 4(20)$ .
Combine factored terms: Combine the factored terms. $\newline$ After factoring out the GCF, we combine the terms inside the parentheses. $\newline$ $4(3 + 20) = 4(23)$

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