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In this lesson, students practice using the distributive property to write equivalent expressions when there are rational coefficients. Students learn the terms factor and expand to describe applying the distributive property in opposite directions, that is, changing a sum of products to a product of a factor and a sum, or vice versa. Some of the expressions that students factor have a variable as the common factor instead of a constant, such as
Let's use the distributive property to write expressions in different ways.
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To factor an expression, use the distributive property to rewrite a sum as a product. The new expression is equivalent to the original expression.
For example, the expression