SOLUTION: please solve (and show me how it was done) (m+6)(m+9)Thank You for your time

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Question 184225: please solve (and show me how it was done) (m+6)(m+9)Thank You for your time
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28m%2B6%29%28m%2B9%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28m%29%2B6%29%28highlight%28m%29%2B9%29 Multiply the First terms:%28m%29%2A%28m%29=m%5E2.


%28highlight%28m%29%2B6%29%28m%2Bhighlight%289%29%29 Multiply the Outer terms:%28m%29%2A%289%29=9%2Am.


%28m%2Bhighlight%286%29%29%28highlight%28m%29%2B9%29 Multiply the Inner terms:%286%29%2A%28m%29=6%2Am.


%28m%2Bhighlight%286%29%29%28m%2Bhighlight%289%29%29 Multiply the Last terms:%286%29%2A%289%29=54.


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So we have the terms: m%5E2, 9%2Am, 6%2Am, and 54


m%5E2%2B9%2Am%2B6%2Am%2B54 Now collect every term listed above to make a single expression.


m%5E2%2B15%2Am%2B54 Now combine like terms.


So %28m%2B6%29%28m%2B9%29 FOILs to m%5E2%2B15%2Am%2B54.


In other words, %28m%2B6%29%28m%2B9%29=m%5E2%2B15%2Am%2B54.