SOLUTION: Find the product: (b+2)(b+6)

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Question 176956This question is from textbook
: Find the product: (b+2)(b+6) This question is from textbook

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

%28b%2B2%29%28b%2B6%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28b%29%2B2%29%28highlight%28b%29%2B6%29 Multiply the First terms:%28b%29%2A%28b%29=b%5E2.


%28highlight%28b%29%2B2%29%28b%2Bhighlight%286%29%29 Multiply the Outer terms:%28b%29%2A%286%29=6%2Ab.


%28b%2Bhighlight%282%29%29%28highlight%28b%29%2B6%29 Multiply the Inner terms:%282%29%2A%28b%29=2%2Ab.


%28b%2Bhighlight%282%29%29%28b%2Bhighlight%286%29%29 Multiply the Last terms:%282%29%2A%286%29=12.


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b%5E2%2B6%2Ab%2B2%2Ab%2B12 Now collect every term to make a single expression.


b%5E2%2B8%2Ab%2B12 Now combine like terms.


So %28b%2B2%29%28b%2B6%29 FOILs to b%5E2%2B8%2Ab%2B12.


In other words, %28b%2B2%29%28b%2B6%29=b%5E2%2B8%2Ab%2B12.