SOLUTION: I have tried this for hours and I need help (6x^4-2)(x^5-7) I am sop confused on the foil method please help Diane

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Question 142943: I have tried this for hours and I need help
(6x^4-2)(x^5-7) I am sop confused on the foil method please help
Diane
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%286x%5E4-2%29%28x%5E5-7%29 Start with the given expression


Now let's FOIL the expression



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


%28highlight%286x%5E4%29-2%29%28highlight%28x%5E5%29-7%29 Multiply the First terms:%286x%5E4%29%2A%28x%5E5%29=6x%5E9


%28highlight%286x%5E4%29-2%29%28x%5E5%2Bhighlight%28-7%29%29 Multiply the Outer terms:%286x%5E4%29%2A%28-7%29=-42x%5E4


%286x%5E4%2Bhighlight%28-2%29%29%28highlight%28x%5E5%29-7%29 Multiply the Inner terms:%28-2%29%2A%28x%5E5%29=-2x%5E5


%286x%5E4%2Bhighlight%28-2%29%29%28x%5E5%2Bhighlight%28-7%29%29 Multiply the Last terms:%28-2%29%2A%28-7%29=14


6x%5E9-42x%5E4-2x%5E5%2B14 Now collect every term to make a single expression



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Answer:
So %286x%5E4-2%29%28x%5E5-7%29 foils and simplifies to 6x%5E9-42x%5E4-2x%5E5%2B14

In other words, %286x%5E4-2%29%28x%5E5-7%29=6x%5E9-42x%5E4-2x%5E5%2B14