Distributive Property and Factoring Expressions

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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CCSS.6.EE.A.3

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CCSS.6.EE.A.3

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What does GCF stand for in factoring expressions?

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GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

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Factor the expression 9x + 27 using the GCF.

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9( x + 3 )

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CCSS.7.EE.A.1

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CCSS.6.EE.A.3

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CCSS.6.EE.A.3

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CCSS.7.EE.A.1

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What is the first step in using the Distributive Property?

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The first step is to multiply the term outside the parentheses by each term inside the parentheses.

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CCSS.6.EE.A.3

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CCSS.6.EE.A.3

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What is factoring in mathematics?

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Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.