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

60 m-40=

Apply the distributive property to factor out the greatest common factor. $\newline$ $60 m-40=$

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Factor out a monomial

Full solution

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

\newline

60 m-40=

Identify GCF of $60m$ and $40$ : Identify the greatest common factor (GCF) of the terms $60m$ and $40$ . $\newline$ The factors of $60$ are $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30,$ and $60$ . $\newline$ The factors of $40$ are $1, 2, 4, 5, 8, 10, 20,$ and $40$ . $\newline$ The common factors are $40$ $0$ and $40$ $1$ . $\newline$ The greatest common factor is $40$ $1$ .
Write terms as product of GCF and another factor: Write each term as a product of the GCF and another factor. $\newline$ $60m$ can be written as $20 \times 3m$ . $\newline$ $40$ can be written as $20 \times 2$ .
Factor out the GCF using distributive property: Use the distributive property to factor out the GCF. $\newline$ The expression $60m - 40$ can be written as $20 \times 3m - 20 \times 2$ . $\newline$ Factoring out the GCF, we get $20(3m - 2)$ .

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