SOLUTION: Multiply {{{(6x^6-3)(x^9-9)}}}

Algebra ->  Graphs -> SOLUTION: Multiply {{{(6x^6-3)(x^9-9)}}}      Log On


   

Question 132144: Multiply %286x%5E6-3%29%28x%5E9-9%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%286x%5E6-3%29%28x%5E9-9%29 Start with the given expression


Now let's FOIL the expression



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


%28highlight%286x%5E6%29-3%29%28highlight%28x%5E9%29-9%29 Multiply the First terms:%286x%5E6%29%2A%28x%5E9%29=6x%5E15


%28highlight%286x%5E6%29-3%29%28x%5E9%2Bhighlight%28-9%29%29 Multiply the Outer terms:%286x%5E6%29%2A%28-9%29=-54x%5E6


%286x%5E6%2Bhighlight%28-3%29%29%28highlight%28x%5E9%29-9%29 Multiply the Inner terms:%28-3%29%2A%28x%5E9%29=-3x%5E9


%286x%5E6%2Bhighlight%28-3%29%29%28x%5E9%2Bhighlight%28-9%29%29 Multiply the Last terms:%28-3%29%2A%28-9%29=27


6x%5E15-54x%5E6-3x%5E9%2B27 Now collect every term to make a single expression



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Answer:
So %286x%5E6-3%29%28x%5E9-9%29 foils and simplifies to 6x%5E15-54x%5E6-3x%5E9%2B27

In other words, %286x%5E6-3%29%28x%5E9-9%29=6x%5E15-54x%5E6-3x%5E9%2B27