SOLUTION: (x+3)(2x-7) please solve using multiplication

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Question 381571: (x+3)(2x-7) please solve using multiplication
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B3%29%282x-7%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28x%29%2B3%29%28highlight%282x%29-7%29 Multiply the First terms:%28x%29%2A%282%2Ax%29=2%2Ax%5E2.


%28highlight%28x%29%2B3%29%282x%2Bhighlight%28-7%29%29 Multiply the Outer terms:%28x%29%2A%28-7%29=-7%2Ax.


%28x%2Bhighlight%283%29%29%28highlight%282x%29-7%29 Multiply the Inner terms:%283%29%2A%282%2Ax%29=6%2Ax.


%28x%2Bhighlight%283%29%29%282x%2Bhighlight%28-7%29%29 Multiply the Last terms:%283%29%2A%28-7%29=-21.


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So we have the terms: 2%2Ax%5E2, -7%2Ax, 6%2Ax, -21


2%2Ax%5E2-7%2Ax%2B6%2Ax-21 Now add every term listed above to make a single expression.


2%2Ax%5E2-x-21 Now combine like terms.


So %28x%2B3%29%282x-7%29 FOILs to 2%2Ax%5E2-x-21.


In other words, %28x%2B3%29%282x-7%29=2%2Ax%5E2-x-21.


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

Also, feel free to check out my tutoring website

Jim