SOLUTION: (s+1/5)(s+1/5) Please help me simplify?

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Question 375099: (s+1/5)(s+1/5) Please help me simplify?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28s%2B1%2F5%29%28s%2B1%2F5%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28s%29%2B1%2F5%29%28highlight%28s%29%2B1%2F5%29 Multiply the First terms:%28s%29%2A%28s%29=s%5E2.


%28highlight%28s%29%2B1%2F5%29%28s%2Bhighlight%281%2F5%29%29%29 Multiply the Outer terms:%28s%29%2A%28%281%2F5%29%29=%281%2F5%29s.


%28s%2Bhighlight%281%2F5%29%29%28highlight%28s%29%2B1%2F5%29 Multiply the Inner terms:%28%281%2F5%29%29%2A%28s%29=%281%2F5%29s.


%28s%2Bhighlight%281%2F5%29%29%28s%2Bhighlight%281%2F5%29%29 Multiply the Last terms:%28%281%2F5%29%29%2A%28%281%2F5%29%29=1%2F25.


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So we have the terms: s%5E2, %281%2F5%29s, %281%2F5%29s, 1%2F25


s%5E2%2B%281%2F5%29s%2B%281%2F5%29s%2B1%2F25 Now add every term listed above to make a single expression.


s%5E2%2B%282%2F5%29s%2B1%2F25 Now combine like terms.


So %28s%2B1%2F5%29%28s%2B1%2F5%29 FOILs to s%5E2%2B%282%2F5%29s%2B1%2F25.


In other words, %28s%2B1%2F5%29%28s%2B1%2F5%29=s%5E2%2B%282%2F5%29s%2B1%2F25.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim