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

30+42=

Apply the distributive property to factor out the greatest common factor. $\newline$ $30+42=$

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Subtract integers

Full solution

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

\newline

30+42=

Identify GCF of $30$ and $42$ : Identify the greatest common factor (GCF) of $30$ and $42$ . To do this, list the factors of each number and find the largest factor they have in common. $\newline$ Factors of $30$ : $1$ , $2$ , $3$ , $5$ , $6$ , $42$ $0$ , $42$ $1$ , $30$ $\newline$ Factors of $42$ : $1$ , $2$ , $3$ , $6$ , $42$ $8$ , $42$ $9$ , $30$ $0$ , $42$ $\newline$ The GCF is $6$ .
Use distributive property: Use the distributive property to factor out the GCF from the expression $30 + 42$ . $\newline$ This means we will express each term as a product of the GCF and another factor, and then factor out the GCF. $\newline$ $30$ can be expressed as $6 \times 5$ and $42$ can be expressed as $6 \times 7$ .
Write original expression with factored terms: Write the original expression with the factored terms. $\newline$ $30 + 42 = (6 \times 5) + (6 \times 7)$
Factor out GCF from both terms: Factor out the GCF, $6$ , from both terms. $\newline$ $6 \times (5 + 7)$
Add terms inside parentheses: Add the terms inside the parentheses. $\newline$ $5 + 7 = 12$
Write final factored expression: Write the final factored expression. $6 \times (5 + 7) = 6 \times 12$
Calculate product to find final answer: Calculate the product to find the final answer. $6 \times 12 = 72$

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