SOLUTION: simplify: (3x - 5)(2x+7) thanks

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Question 130364: simplify: (3x - 5)(2x+7)
thanks
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-5%29%282x%2B7%29 Start with the given expression


Now let's FOIL the expression



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


%28highlight%283x%29-5%29%28highlight%282x%29%2B7%29 Multiply the First terms:%283x%29%2A%282x%29=6x%5E2


%28highlight%283x%29-5%29%282x%2Bhighlight%287%29%29 Multiply the Outer terms:%283x%29%2A%287%29=21x


%283x%2Bhighlight%28-5%29%29%28highlight%282x%29%2B7%29 Multiply the Inner terms:%28-5%29%2A%282x%29=-10x


%283x%2Bhighlight%28-5%29%29%282x%2Bhighlight%287%29%29 Multiply the Last terms:%28-5%29%2A%287%29=-35


6x%5E2%2B21x-10x-35 Now collect every term to make a single expression



6x%5E2%2B11x-35 Now combine like terms


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Answer:
So %283x-5%29%282x%2B7%29 foils and simplifies to 6x%5E2%2B11x-35

In other words, %283x-5%29%282x%2B7%29=6x%5E2%2B11x-35

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(3x-5)(2x+7)
6x^2-10x+21x+35
6x^2+11x+35