SOLUTION: Use FOIL to multiply: (3x – 8)(x – 7) Help!!!

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Question 167893: Use FOIL to multiply:
(3x – 8)(x – 7)
Help!!!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-8%29%28x-7%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283x%29-8%29%28highlight%28x%29-7%29 Multiply the First terms:%283x%29%2A%28x%29=3x%5E2.


%28highlight%283x%29-8%29%28x%2Bhighlight%28-7%29%29 Multiply the Outer terms:%283x%29%2A%28-7%29=-21x.


%283x%2Bhighlight%28-8%29%29%28highlight%28x%29-7%29 Multiply the Inner terms:%28-8%29%2A%28x%29=-8x.


%283x%2Bhighlight%28-8%29%29%28x%2Bhighlight%28-7%29%29 Multiply the Last terms:%28-8%29%2A%28-7%29=56.


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3%2Ax%5E2-21x-8x%2B56 Now collect every term to make a single expression.


3x%5E2-29x%2B56 Now combine like terms.


So %283x-8%29%28x-7%29 FOILs to 3x%5E2-29x%2B56.


In other words, %283x-8%29%28x-7%29=3x%5E2-29x%2B56.