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

8x-20=

Apply the distributive property to factor out the greatest common factor. $\newline$ $8 x-20=$

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Evaluate natural logarithms

Full solution

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

\newline

8 x-20=

Identify GCF of $8x$ and $-20$ : Identify the greatest common factor (GCF) of the terms $8x$ and $-20$ . $\newline$ The factors of $8x$ are $1$ , $2$ , $4$ , $8$ , $x$ , $-20$ $0$ , $-20$ $1$ , and $8x$ . $\newline$ The factors of $-20$ are $1$ , $2$ , $4$ , $-20$ $7$ , $-20$ $8$ , $-20$ $9$ , $8x$ $0$ , $8x$ $1$ , $8x$ $2$ , $8x$ $3$ , $8x$ $4$ , and $-20$ . $\newline$ The greatest common factor of $8x$ and $-20$ is $4$ .
Factor out GCF using distributive property: Use the distributive property to factor out the GCF from the expression $8x - 20$ . $\newline$ The distributive property states that $a(b + c) = ab + ac$ . $\newline$ In this case, we can factor out the GCF, which is $4$ , from each term. $\newline$ $8x$ can be written as $4(2x)$ and $-20$ can be written as $4(-5)$ . $\newline$ So, $8x - 20$ can be factored as $4(2x) - 4(5)$ .
Combine factored terms using distributive property: Combine the factored terms into a single expression using the distributive property. $\newline$ This gives us $4(2x - 5)$ as the factored expression.

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