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

44+48=

Apply the distributive property to factor out the greatest common factor. $\newline$ $44+48=$

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

\newline

44+48=

Identifying the GCF of $44$ and $48$ : Let's identify the greatest common factor (GCF) of $44$ and $48$ . $\newline$ To find the GCF, we list the factors of each number: $\newline$ Factors of $44$ : $1$ , $2$ , $4$ , $11$ , $22$ , $44$ $\newline$ Factors of $48$ : $1$ , $2$ , $48$ $2$ , $4$ , $48$ $4$ , $48$ $5$ , $48$ $6$ , $48$ $7$ , $48$ $8$ , $48$ $\newline$ The greatest common factor of $44$ and $48$ is $4$ .
Applying the distributive property: Now, we apply the distributive property to factor out the GCF from the expression $44 + 48$ . $\newline$ We divide each term by the GCF, which is $4$ : $\newline$ $44 \div 4 = 11$ $\newline$ $48 \div 4 = 12$
Replacing terms with quotients: Next, we write the original expression with each term replaced by its quotient after dividing by the GCF: $44 + 48$ becomes $4(11) + 4(12)$
Factoring out the GCF: Finally, we use the distributive property to factor out the GCF: $4(11) + 4(12) = 4(11 + 12)$
Adding the numbers inside parentheses: We add the numbers inside the parentheses: $11 + 12 = 23$
Writing the factored expression: Now, we write the factored expression with the sum inside the parentheses: $4(11 + 12)$ becomes $4(23)$

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