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

15+21=◻

Apply the distributive property to factor out the greatest common factor. $\newline$ $15+21=\square \text { }$

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Factor out a monomial

Full solution

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

\newline

15+21=\square \text { }

Identify GCF of $15$ and $21$ : Identify the greatest common factor (GCF) of $15$ and $21$ . $\newline$ The factors of $15$ are $1$ , $3$ , $5$ , and $15$ . $\newline$ The factors of $21$ are $1$ , $3$ , $21$ $2$ , and $21$ . $\newline$ The greatest common factor of $15$ and $21$ is $3$ .
Factor out GCF from $15 + 21$ : Use the distributive property to factor out the GCF from the expression $15 + 21$ . $\newline$ We can write $15$ as $3 \times 5$ and $21$ as $3 \times 7$ . $\newline$ So, $15 + 21$ can be written as $3 \times 5 + 3 \times 7$ .
Apply distributive property to factor out GCF: Apply the distributive property to factor out the GCF, $3$ . This gives us $3(5 + 7)$ .
Simplify expression inside parentheses: Simplify the expression inside the parentheses. $\newline$ $5 + 7 = 12$ . $\newline$ So, the factored form is $3(12)$ .

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