SOLUTION: Multiply ( x + 1/3 )^2

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Question 177313: Multiply ( x + 1/3 )^2
Found 2 solutions by jim_thompson5910, dini:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B1%2F3%29%5E2 Start with the given expression.


%28x%2B1%2F3%29%28x%2B1%2F3%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%28x%29%2B1%2F3%29%28highlight%28x%29%2B1%2F3%29 Multiply the First terms:%28x%29%2A%28x%29=x%5E2.


%28highlight%28x%29%2B1%2F3%29%28x%2Bhighlight%281%2F3%29%29 Multiply the Outer terms:%28x%29%2A%281%2F3%29=%281%2F3%29x.


%28x%2Bhighlight%281%2F3%29%29%28highlight%28x%29%2B1%2F3%29 Multiply the Inner terms:%281%2F3%29%2A%28x%29=%281%2F3%29x.


%28x%2Bhighlight%281%2F3%29%29%28x%2Bhighlight%281%2F3%29%29 Multiply the Last terms:%281%2F3%29%2A%281%2F3%29=1%2F9.


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x%5E2%2B%281%2F3%29x%2B%281%2F3%29x%2B1%2F9 Now collect every term to make a single expression.


x%5E2%2B%282%2F3%29x%2B1%2F9 Now combine like terms.


So %28x%2B1%2F3%29%5E2 FOILs to x%5E2%2B%282%2F3%29x%2B1%2F9.


In other words, %28x%2B1%2F3%29%5E2=x%5E2%2B%282%2F3%29x%2B1%2F9.

Answer by dini(5) About Me  (Show Source):
You can put this solution on YOUR website!
(x+1/3)^2
=(x+1/3)*(x+1/3)
=x^2+(1/3)x+(1/3)x+(1/3)^2
=x^2+(2/3)x+1/9