SOLUTION: Hello, could you please help me find the product of this problem:{{{(x+y)^2}}}

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Question 197993: Hello, could you please help me find the product of this problem:%28x%2By%29%5E2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2By%29%5E2 Start with the given expression.


%28x%2By%29%28x%2By%29 Expand. Remember something like x%5E2=xx.


Now let's FOIL the expression.


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


%28highlight%28x%29%2By%29%28highlight%28x%29%2By%29 Multiply the First terms:%28x%29%28x%29=x%5E2.


%28highlight%28x%29%2By%29%28x%2Bhighlight%28y%29%29 Multiply the Outer terms:%28x%29%28y%29=xy.


%28x%2Bhighlight%28y%29%29%28highlight%28x%29%2By%29 Multiply the Inner terms:%28y%29%28x%29=xy.


%28x%2Bhighlight%28y%29%29%28x%2Bhighlight%28y%29%29 Multiply the Last terms:%28y%29%28y%29=y%5E2.


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So we have the terms: x%5E2, xy, xy, y%5E2


x%5E2%2Bxy%2Bxy%2By%5E2 Now add every term listed above to make a single expression.


x%5E2%2B2xy%2By%5E2 Now combine like terms.


So %28x%2By%29%5E2 FOILs to x%5E2%2B2xy%2By%5E2.


In other words, %28x%2By%29%5E2=x%5E2%2B2xy%2By%5E2.