SOLUTION: (3x + 2y)2

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Question 148774: (3x + 2y)2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x%2B2y%29%5E2 Start with the given expression


%283x%2B2y%29%283x%2B2y%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%283x%29%2B2y%29%28highlight%283x%29%2B2y%29 Multiply the First terms:%283x%29%2A%283x%29=9x%5E2


%28highlight%283x%29%2B2y%29%283x%2Bhighlight%282y%29%29 Multiply the Outer terms:%283x%29%2A%282y%29=6xy


%283x%2Bhighlight%282y%29%29%28highlight%283x%29%2B2y%29 Multiply the Inner terms:%282y%29%2A%283x%29=6yx


%283x%2Bhighlight%282y%29%29%283x%2Bhighlight%282y%29%29 Multiply the Last terms:%282y%29%2A%282y%29=4y%5E2


9x%5E2%2B6xy%2B6yx%2B4y%5E2 Now collect every term to make a single expression



9x%5E2%2B12xy%2B4y%5E2 Now combine like terms


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Answer:
So %283x%2B2y%29%283x%2B2y%29 foils and simplifies to 9x%5E2%2B12xy%2B4y%5E2

In other words, %283x%2B2y%29%283x%2B2y%29=9x%5E2%2B12xy%2B4y%5E2