SOLUTION: Expand (x+5)(2x+7)

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Question 577882: Expand (x+5)(2x+7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B5%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%28x%29%2B5%29%28highlight%282x%29%2B7%29 Multiply the First terms:%28x%29%2A%282%2Ax%29=2%2Ax%5E2.


%28highlight%28x%29%2B5%29%282x%2Bhighlight%287%29%29 Multiply the Outer terms:%28x%29%2A%287%29=7%2Ax.


%28x%2Bhighlight%285%29%29%28highlight%282x%29%2B7%29 Multiply the Inner terms:%285%29%2A%282%2Ax%29=10%2Ax.


%28x%2Bhighlight%285%29%29%282x%2Bhighlight%287%29%29 Multiply the Last terms:%285%29%2A%287%29=35.


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So we have the terms: 2%2Ax%5E2, 7%2Ax, 10%2Ax, 35


2%2Ax%5E2%2B7%2Ax%2B10%2Ax%2B35 Now add every term listed above to make a single expression.


2x%5E2%2B17x%2B35 Now combine like terms.


So %28x%2B5%29%282x%2B7%29 FOILs to 2x%5E2%2B17x%2B35.


In other words, %28x%2B5%29%282x%2B7%29=2x%5E2%2B17x%2B35.

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