SOLUTION: use the FOIL to multiply: (8x-1)(2x+5)

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Question 134238: use the FOIL to multiply:
(8x-1)(2x+5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%288x-1%29%282x%2B5%29 Start with the given expression


Now let's FOIL the expression



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


%28highlight%288x%29-1%29%28highlight%282x%29%2B5%29 Multiply the First terms:%288x%29%2A%282x%29=16x%5E2


%28highlight%288x%29-1%29%282x%2Bhighlight%285%29%29 Multiply the Outer terms:%288x%29%2A%285%29=40x


%288x%2Bhighlight%28-1%29%29%28highlight%282x%29%2B5%29 Multiply the Inner terms:%28-1%29%2A%282x%29=-2x


%288x%2Bhighlight%28-1%29%29%282x%2Bhighlight%285%29%29 Multiply the Last terms:%28-1%29%2A%285%29=-5


16x%5E2%2B40x-2x-5 Now collect every term to make a single expression



16x%5E2%2B38x-5 Now combine like terms


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Answer:
So %288x-1%29%282x%2B5%29 foils and simplifies to 16x%5E2%2B38x-5

In other words, %288x-1%29%282x%2B5%29=16x%5E2%2B38x-5