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.
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
The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac. To create an equation that equals 18 using the distributive property, you can use the factors 2 and 9. For example, 2(7 + 4) = 2(7) + 2(4) = 14 + 8 = 18.
Do you mean (3ax-15a)+(x-5)?If so, then this is simply a matter of factoring by grouping, which you should have learned in pre-algebra.You should show these steps in your work:1. (3ax-15a)+(x-5)- beginning equation2. 3a(x-5)+1(x-5)- factoring it out3. (3a+1)(x-5)- rule of factoring by groupingYou should learn this method, because it is very simple and helps you a lot in factoring chapters.
Using the communative property of both addition and multiplication, 11+ab could be rewritten as ab+11, 11+ba or ba+11.
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