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

44 h-33=

Apply the distributive property to factor out the greatest common factor. $\newline$ $44 h-33=$

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Evaluate logarithms using properties

Full solution

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

\newline

44 h-33=

Find GCF of coefficients: We need to find the greatest common factor (GCF) of the coefficients $44$ and $-33$ . $\newline$ To find the GCF, we list the factors of each number and find the largest factor they have in common. $\newline$ Factors of $44$ : $1$ , $2$ , $4$ , $11$ , $22$ , $44$ $\newline$ Factors of $33$ : $1$ , $-33$ $1$ , $11$ , $33$ $\newline$ The GCF of $44$ and $33$ is $11$ .
List factors of $44$ and $33$ : Now that we have the GCF, we can use the distributive property to factor out $11$ from the expression $44h - 33$ . $\newline$ We divide each term by the GCF and write the factored expression. $\newline$ $44h \div 11 = 4h$ $\newline$ $-33 \div 11 = -3$ $\newline$ So, the expression becomes $11(4h - 3)$ .

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