SOLUTION: Use FOIL method to find product. (9x^6-2)(x^7-1)

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Question 147387: Use FOIL method to find product.
(9x^6-2)(x^7-1)

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

%289x%5E6-2%29%28x%5E7-1%29+ Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%289x%5E6%29-2%29%28highlight%28x%5E7%29-1%29 Multiply the First terms:%289%2Ax%5E6%29%2A%28x%5E7%29=9%2Ax%5E13.


%28highlight%289x%5E6%29-2%29%28x%5E7%2Bhighlight%28-1%29%29 Multiply the Outer terms:%289%2Ax%5E6%29%2A%28-1%29=-9%2Ax%5E6.


%289x%5E6%2Bhighlight%28-2%29%29%28highlight%28x%5E7%29-1%29 Multiply the Inner terms:%28-2%29%2A%28x%5E7%29=-2%2Ax%5E7.


%289x%5E6%2Bhighlight%28-2%29%29%28x%5E7%2Bhighlight%28-1%29%29 Multiply the Last terms:%28-2%29%2A%28-1%29=2.


9%2Ax%5E13-9%2Ax%5E6-2%2Ax%5E7%2B2 Now collect every term to make a single expression.


So %289x%5E6-2%29%28x%5E7-1%29+ FOILS to 9%2Ax%5E13-9%2Ax%5E6-2%2Ax%5E7%2B2.


In other words, %289x%5E6-2%29%28x%5E7-1%29+=9%2Ax%5E13-9%2Ax%5E6-2%2Ax%5E7%2B2.