SOLUTION: Multiply: (b+1/5)(b+1/5)

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Question 318624: Multiply: (b+1/5)(b+1/5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

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


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


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


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


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


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


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


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


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