SOLUTION: (5 - 8y)^2

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Question 118525: (5 - 8y)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%285-8y%29%5E2 Start with the given expression


%285-8y%29%285-8y%29 Expand. Remember something like x%5E2=x%2Ax



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


%28highlight%285%29-8y%29%28highlight%285%29-8y%29 Multiply the First terms:%285%29%2A%285%29=25


%28highlight%285%29-8y%29%285%2Bhighlight%28-8y%29%29 Multiply the Outer terms:%285%29%2A%28-8y%29=-40y


%285%2Bhighlight%28-8y%29%29%28highlight%285%29-8y%29 Multiply the Inner terms:%28-8y%29%2A%285%29=-40y


%285%2Bhighlight%28-8y%29%29%285%2Bhighlight%28-8y%29%29 Multiply the Last terms:%28-8y%29%2A%28-8y%29=64y%5E2


25-40y-40y%2B64y%5E2 Now collect every term to make a single expression



-80y%2B64y%5E2%2B25 Now combine like terms


64y%5E2-80y%2B25 Sort the terms


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Answer:
So %285-8y%29%285-8y%29 foils and simplifies to 64y%5E2-80y%2B25

In other words, %285-8y%29%285-8y%29=64y%5E2-80y%2B25