SOLUTION: Find the product: (2x+6)(x-10)

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Question 176958This question is from textbook
: Find the product: (2x+6)(x-10) This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%2B6%29%28x-10%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%282x%29%2B6%29%28highlight%28x%29-10%29 Multiply the First terms:%282%2Ax%29%2A%28x%29=2%2Ax%5E2.


%28highlight%282x%29%2B6%29%28x%2Bhighlight%28-10%29%29 Multiply the Outer terms:%282%2Ax%29%2A%28-10%29=-20%2Ax.


%282x%2Bhighlight%286%29%29%28highlight%28x%29-10%29 Multiply the Inner terms:%286%29%2A%28x%29=6%2Ax.


%282x%2Bhighlight%286%29%29%28x%2Bhighlight%28-10%29%29 Multiply the Last terms:%286%29%2A%28-10%29=-60.


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2%2Ax%5E2-20%2Ax%2B6%2Ax-60 Now collect every term to make a single expression.


2%2Ax%5E2-14%2Ax-60 Now combine like terms.


So %282x%2B6%29%28x-10%29 FOILs to 2%2Ax%5E2-14%2Ax-60.


In other words, %282x%2B6%29%28x-10%29=2%2Ax%5E2-14%2Ax-60.