Use the distributive property to expand and factor simple linear expressions.
Choose the best direction for the distributive property
Problem
Rewrite \(5x~+~10\) to expose \(5\) equal groups. Report the distributive-property direction used followed by the resulting equivalent expression.
Big Picture
What this problem is really about
Let the desired form determine which way to use the distributive property. The expression begins as a sum, but the goal is to reveal five equal groups, so look for five as a factor shared by both terms. Dividing each term by that shared factor identifies what belongs inside one group.
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