SOLUTION: (3-7x^9)^2

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Question 132303: (3-7x^9)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283-7x%5E9%29%5E2 Start with the given expression


%283-7x%5E9%29%283-7x%5E9%29 Expand. Remember something like x%5E2=x%2Ax


Now let's FOIL the expression



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


%28highlight%283%29-7x%5E9%29%28highlight%283%29-7x%5E9%29 Multiply the First terms:%283%29%2A%283%29=9


%28highlight%283%29-7x%5E9%29%283%2Bhighlight%28-7x%5E9%29%29 Multiply the Outer terms:%283%29%2A%28-7x%5E9%29=-21x%5E9


%283%2Bhighlight%28-7x%5E9%29%29%28highlight%283%29-7x%5E9%29 Multiply the Inner terms:%28-7x%5E9%29%2A%283%29=-21x%5E9


%283%2Bhighlight%28-7x%5E9%29%29%283%2Bhighlight%28-7x%5E9%29%29 Multiply the Last terms:%28-7x%5E9%29%2A%28-7x%5E9%29=49x%5E18


9-21x%5E9-21x%5E9%2B49x%5E18 Now collect every term to make a single expression



49x%5E18-42x%5E9%2B9 Now combine like terms


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Answer:
So %283-7x%5E9%29%5E2 foils and simplifies to 49x%5E18-42x%5E9%2B9

In other words, %283-7x%5E9%29%5E2=49x%5E18-42x%5E9%2B9