SOLUTION: (2-x)(3+2x)please solve using mulitplication

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Question 381573: (2-x)(3+2x)please solve using mulitplication
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282-x%29%283%2B2x%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%282%29-x%29%28highlight%283%29%2B2x%29 Multiply the First terms:%282%29%2A%283%29=6.


%28highlight%282%29-x%29%283%2Bhighlight%282x%29%29 Multiply the Outer terms:%282%29%2A%282%2Ax%29=4%2Ax.


%282%2Bhighlight%28-x%29%29%28highlight%283%29%2B2x%29 Multiply the Inner terms:%28-x%29%2A%283%29=-3%2Ax.


%282%2Bhighlight%28-x%29%29%283%2Bhighlight%282x%29%29 Multiply the Last terms:%28-x%29%2A%282%2Ax%29=-2%2Ax%5E2.


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So we have the terms: 6, 4%2Ax, -3%2Ax, -2%2Ax%5E2


6%2B4%2Ax-3%2Ax-2%2Ax%5E2 Now add every term listed above to make a single expression.


6%2Bx-2%2Ax%5E2 Now combine like terms.


So %282-x%29%283%2B2x%29 FOILs to 6%2Bx-2%2Ax%5E2.


In other words, %282-x%29%283%2B2x%29=6%2Bx-2%2Ax%5E2.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim