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

75+20=

Apply the distributive property to factor out the greatest common factor. $\newline$ $75+20=$

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Subtract integers

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

\newline

75+20=

Identify GCF of $75$ and $20$ : Identify the greatest common factor (GCF) of $75$ and $20$ . To do this, list the factors of each number and find the largest factor they have in common. $\newline$ Factors of $75$ : $1$ , $3$ , $5$ , $15$ , $25$ , $75$ $\newline$ Factors of $20$ : $1$ , $20$ $3$ , $20$ $4$ , $5$ , $20$ $6$ , $20$ $\newline$ The GCF of $75$ and $20$ is $5$ .
Factor out GCF using distributive property: Use the distributive property to factor out the GCF from the expression $75 + 20$ . $\newline$ The distributive property states that $a(b + c) = ab + ac$ . In this case, we can factor out the GCF, which is $5$ , from both terms. $\newline$ So, $75 + 20$ can be written as $5(15) + 5(4)$ .
Simplify factored expression: Simplify the factored expression by combining the terms inside the parentheses. $5(15) + 5(4)$ simplifies to $5(15 + 4)$ .
Add numbers inside parentheses: Add the numbers inside the parentheses. $\newline$ $15 + 4$ equals $19$ .
Write final factored expression: Write the final factored expression using the GCF and the sum from the previous step. $\newline$ The final factored expression is $5(19)$ .

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