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

6+30=

Apply the distributive property to factor out the greatest common factor. $\newline$ $6+30=$

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

\newline

6+30=

Find GCF of $6$ and $30$ : Identify the greatest common factor (GCF) of $6$ and $30$ . $\newline$ To find the GCF, we list the factors of each number: $\newline$ Factors of $6$ : $1$ , $2$ , $3$ , $6$ $\newline$ Factors of $30$ : $1$ , $2$ , $3$ , $30$ $3$ , $6$ , $30$ $5$ , $30$ $6$ , $30$ $\newline$ The greatest common factor of $6$ and $30$ is $6$ .
Factor out GCF using distributive property: Use the distributive property to factor out the GCF from the expression $6 + 30$ . $\newline$ The distributive property states that $a(b + c) = ab + ac$ . $\newline$ Here, we can factor out the GCF, which is $6$ , from both terms in the expression: $\newline$ $6(1) + 6(5)$
Write factored expression: Write the factored expression. $\newline$ After factoring out the GCF, the expression becomes: $\newline$ $6(1 + 5)$
Simplify expression inside parentheses: Simplify the expression inside the parentheses. $\newline$ $1 + 5 = 6$ $\newline$ So the factored expression is: $\newline$ $6(6)$

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