SOLUTION: i need to multiply and simplify this problem. (2x+4)(2x+4) thank youu

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Question 194041: i need to multiply and simplify this problem.

(2x+4)(2x+4)

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

%282x%2B4%29%282x%2B4%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%2B4%29%28highlight%282x%29%2B4%29 Multiply the First terms:%282%2Ax%29%2A%282%2Ax%29=4%2Ax%5E2.


%28highlight%282x%29%2B4%29%282x%2Bhighlight%284%29%29 Multiply the Outer terms:%282%2Ax%29%2A%284%29=8%2Ax.


%282x%2Bhighlight%284%29%29%28highlight%282x%29%2B4%29 Multiply the Inner terms:%284%29%2A%282%2Ax%29=8%2Ax.


%282x%2Bhighlight%284%29%29%282x%2Bhighlight%284%29%29 Multiply the Last terms:%284%29%2A%284%29=16.


4%2Ax%5E2%2B8%2Ax%2B8%2Ax%2B16 Now collect every term to make a single expression.


4%2Ax%5E2%2B16%2Ax%2B16 Now combine like terms.


So %282x%2B4%29%282x%2B4%29 FOILs to 4%2Ax%5E2%2B16%2Ax%2B16.


In other words, %282x%2B4%29%282x%2B4%29=4%2Ax%5E2%2B16%2Ax%2B16.


Note: another way to expand is to use the perfect square formula