SOLUTION: how do you solve this problem by using foil? (9x+9)(3x+3)

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Question 120700: how do you solve this problem by using foil? (9x+9)(3x+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%289x%2B9%29%283x%2B3%29 Start with the given expression


Now let's FOIL the expression



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


%28highlight%289x%29%2B9%29%28highlight%283x%29%2B3%29 Multiply the First terms:%289x%29%2A%283x%29=27x%5E2


%28highlight%289x%29%2B9%29%283x%2Bhighlight%283%29%29 Multiply the Outer terms:%289x%29%2A%283%29=27x


%289x%2Bhighlight%289%29%29%28highlight%283x%29%2B3%29 Multiply the Inner terms:%289%29%2A%283x%29=27x


%289x%2Bhighlight%289%29%29%283x%2Bhighlight%283%29%29 Multiply the Last terms:%289%29%2A%283%29=27


27x%5E2%2B27x%2B27x%2B27 Now collect every term to make a single expression



27x%5E2%2B54x%2B27 Now combine like terms


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Answer:
So %289x%2B9%29%283x%2B3%29 foils and simplifies to 27x%5E2%2B54x%2B27

In other words, %289x%2B9%29%283x%2B3%29=27x%5E2%2B54x%2B27