SOLUTION: Multiply. (3x – 1)(2x + 5)

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Question 117820: Multiply. (3x – 1)(2x + 5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-1%29%282x%2B5%29 Start with the given expression

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


%28highlight%283x%29-1%29%28highlight%282x%29%2B5%29 Multiply the First terms:%283x%29%2A%282x%29=6x%5E2


%28highlight%283x%29-1%29%282x%2Bhighlight%285%29%29 Multiply the Outer terms:%283x%29%2A%285%29=15x


%283x%2Bhighlight%28-1%29%29%28highlight%282x%29%2B5%29 Multiply the Inner terms:%28-1%29%2A%282x%29=-2x


%283x%2Bhighlight%28-1%29%29%282x%2Bhighlight%285%29%29 Multiply the Last terms:%28-1%29%2A%285%29=-5


6x%5E2%2B15x-2x-5 Now collect every term to make a single expression



6x%5E2%2B13x-5 Now combine like terms


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Answer:
So %283x-1%29%282x%2B5%29 foils and simplifies to 6x%5E2%2B13x-5

In other words, %283x-1%29%282x%2B5%29=6x%5E2%2B13x-5