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You use the FOIL method, which stands for First Outside Inside Last. Say, for example, you have the factored polynomial (2x - 3)(x + 1).

To FOIL it you would take the two first components, 2x and x, and multiply them together, getting 2x^2. Next, you take the two outside components, 2x and 1, and multiply them together, getting 2x. After that, you take the two inside components, -3 and x, and multiply them together, getting -3x. Finally, you take the two last components, -3 and 1, and multiply them together, getting -3. You add all of these things together to get 2x^2 - x - 3.

With only variables, you could look at it this way: (ax + b)(x + c), the answer being ax^2 + acx + bx + bc.

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If you multiply out the factors you obtained, you should get the original expression back.

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Q: How could you use the distributive property to check your factoring?
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Explain how to use the distributive property to find 20x12?

The distributive property is not used for simplified multiplication. See http://www.algebrahelp.com/lessons/simplifying/distribution for information about how to use the distributive property to simplify other equations. 20 x 12 is already simplified, so the proper way to solve it is 12 x20 ----- 240 You could potentially factor and use the commutative property to find a simpler equation, ex. 20x12 -- break 20 into 10 and 2 10x2x12 -- multiply 2 by 12 10x24 -- multiply by 10 240


What is a distributive property equation that equals 18?

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