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Apply the distributive property to factor out the greatest common factor of all three terms.

9a-18 b+21 c=

Apply the distributive property to factor out the greatest common factor of all three terms. $\newline$ $9 a-18 b+21 c=$

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Solve logarithmic equations with multiple logarithms

Full solution

Q. Apply the distributive property to factor out the greatest common factor of all three terms.

\newline

9 a-18 b+21 c=

Identify GCF of coefficients: Identify the greatest common factor (GCF) of the numerical coefficients $9$ , $-18$ , and $21$ . $\newline$ The GCF of $9$ , $18$ , and $21$ is $3$ .
Factor out GCF from each term: Factor out the GCF from each term. $\newline$ The expression becomes $3(3a - 6b + 7c)$ . $\newline$ Check that each term in the parentheses is the result of dividing the original terms by the GCF. $\newline$ $\frac{9a}{3} = 3a$ , $\frac{-18b}{3} = -6b$ , $\frac{21c}{3} = 7c$ .

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