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

9-12 x+6y=

Apply the distributive property to factor out the greatest common factor of all three terms. $\newline$ $9-12 x+6 y=$

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Evaluate logarithms using properties

Full solution

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

\newline

9-12 x+6 y=

Identify GCF of coefficients: Identify the greatest common factor (GCF) of the coefficients of all three terms. $\newline$ The coefficients are $9$ , $-12$ , and $6$ . $\newline$ The GCF of $9$ , $12$ , and $6$ is $3$ .
Use distributive property: Use the distributive property to factor out the GCF from each term. $\newline$ The distributive property states that $a(b + c) = ab + ac$ . $\newline$ So, we can factor out the GCF ( $3$ ) from each term: $\newline$ $3(\frac{9}{3}) - 3(\frac{12x}{3}) + 3(\frac{6y}{3})$ .
Simplify factored terms: Simplify each term after factoring out the GCF. $\newline$ $3(3) - 3(4x) + 3(2y)$ $\newline$ $= 9 - 12x + 6y$ .
Write final factored expression: Write the final factored expression. $\newline$ The expression $9 - 12x + 6y$ factored by the GCF $3$ is: $\newline$ $3(3 - 4x + 2y)$ .

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