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

16 g+20 h=

Apply the distributive property to factor out the greatest common factor. $\newline$ $16 g+20 h=$

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Evaluate natural logarithms

Full solution

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

\newline

16 g+20 h=

Identify GCF of Coefficients: Identify the greatest common factor (GCF) of the numerical coefficients $16$ and $20$ . To find the GCF of $16$ and $20$ , we list the factors of each number: Factors of $16$ : $1$ , $2$ , $4$ , $8$ , $16$ Factors of $20$ : $1$ , $2$ , $4$ , $20$ $4$ , $20$ $5$ , $20$ The greatest common factor is the largest factor that both numbers share. The GCF of $16$ and $20$ is $4$ .
List Factors: Factor out the GCF from the given expression. $\newline$ We have the expression $16g + 20h$ , and we have determined that the GCF is $4$ . $\newline$ Now we divide each term by the GCF and factor it out: $\newline$ $16g \div 4 = 4g$ $\newline$ $20h \div 4 = 5h$ $\newline$ So, the factored expression is $4(4g + 5h)$ .

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