Use the distributive property to expand and factor simple linear expressions.
Factor out a common factor
Problem
Factor the greatest common factor \(6\) from \(6x~+~12\). Report the equivalent factored expression.
Big Picture
What this problem is really about
Factoring runs distribution backward. Since six is the required common factor, place it outside a pair of parentheses and divide each original term by six to determine what remains inside. A quick distribution check should recreate both original terms, confirming that nothing was left too large or factored only once.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
