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

10 a-25+5b=

Apply the distributive property to factor out the greatest common factor of all three terms. $\newline$ $10 a-25+5 b=$

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Evaluate natural logarithms

Full solution

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

\newline

10 a-25+5 b=

Identify GCF of coefficients: First, we need to identify the greatest common factor (GCF) of the coefficients of the terms in the expression $10a - 25 + 5b$ . The coefficients are $10$ , $-25$ , and $5$ . $\newline$ To find the GCF, we list the factors of each coefficient: $\newline$ Factors of $10$ : $1$ , $2$ , $5$ , $10$ $\newline$ Factors of $25$ : $1$ , $5$ , $25$ $\newline$ Factors of $5$ : $1$ , $5$ $\newline$ The greatest common factor among these is $5$ .
Factor out GCF using distributive property: Now that we have identified the GCF as $5$ , we can use the distributive property to factor it out of the expression. We divide each term by $5$ and then multiply by $5$ to factor it out: $5\left(\frac{10a}{5} - \frac{25}{5} + \frac{5b}{5}\right)$ This simplifies to: $5(2a - 5 + b)$

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