SOLUTION: (3x+5)²

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Question 143661: (3x+5)²
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x%2B5%29%5E2 Start with the given expression


%283x%2B5%29%283x%2B5%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%2B5%29%28highlight%283x%29%2B5%29 Multiply the First terms:%283x%29%2A%283x%29=9x%5E2


%28highlight%283x%29%2B5%29%283x%2Bhighlight%285%29%29 Multiply the Outer terms:%283x%29%2A%285%29=15x


%283x%2Bhighlight%285%29%29%28highlight%283x%29%2B5%29 Multiply the Inner terms:%285%29%2A%283x%29=15x


%283x%2Bhighlight%285%29%29%283x%2Bhighlight%285%29%29 Multiply the Last terms:%285%29%2A%285%29=25


9x%5E2%2B15x%2B15x%2B25 Now collect every term to make a single expression



9x%5E2%2B30x%2B25 Now combine like terms


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Answer:
So %283x%2B5%29%5E2 foils and simplifies to 9x%5E2%2B30x%2B25

In other words, %283x%2B5%29%5E2=9x%5E2%2B30x%2B25