SOLUTION: (3x + 4)(2x + 3)

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Question 118526: (3x + 4)(2x + 3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x%2B4%29%282x%2B3%29 Start with the given expression

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


%28highlight%283x%29%2B4%29%28highlight%282x%29%2B3%29 Multiply the First terms:%283x%29%2A%282x%29=6x%5E2


%28highlight%283x%29%2B4%29%282x%2Bhighlight%283%29%29 Multiply the Outer terms:%283x%29%2A%283%29=9x


%283x%2Bhighlight%284%29%29%28highlight%282x%29%2B3%29 Multiply the Inner terms:%284%29%2A%282x%29=8x


%283x%2Bhighlight%284%29%29%282x%2Bhighlight%283%29%29 Multiply the Last terms:%284%29%2A%283%29=12


6x%5E2%2B9x%2B8x%2B12 Now collect every term to make a single expression



6x%5E2%2B17x%2B12 Now combine like terms


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Answer:
So %283x%2B4%29%282x%2B3%29 foils and simplifies to 6x%5E2%2B17x%2B12

In other words, %283x%2B4%29%282x%2B3%29=6x%5E2%2B17x%2B12