SOLUTION: simplify: (e+3)^2 thank you!

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Question 151461: simplify:
(e+3)^2
thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28e%2B3%29%5E2 Start with the given expression.


%28e%2B3%29%28e%2B3%29 Expand. Remember something like x%5E2=x%2Ax.


Now let's FOIL the expression.


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


%28highlight%28e%29%2B3%29%28highlight%28e%29%2B3%29 Multiply the First terms:%28e%29%2A%28e%29=e%5E2.


%28highlight%28e%29%2B3%29%28e%2Bhighlight%283%29%29 Multiply the Outer terms:%28e%29%2A%283%29=3%2Ae.


%28e%2Bhighlight%283%29%29%28highlight%28e%29%2B3%29 Multiply the Inner terms:%283%29%2A%28e%29=3%2Ae.


%28e%2Bhighlight%283%29%29%28e%2Bhighlight%283%29%29 Multiply the Last terms:%283%29%2A%283%29=9.


e%5E2%2B3%2Ae%2B3%2Ae%2B9 Now collect every term to make a single expression.


e%5E2%2B6%2Ae%2B9 Now combine like terms.


So %28e%2B3%29%5E2 FOILS to e%5E2%2B6%2Ae%2B9.


In other words, %28e%2B3%29%5E2=e%5E2%2B6%2Ae%2B9.