SOLUTION: (4x + 5)^2

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Question 118522: (4x + 5)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x%2B5%29%5E2 Start with the given expression


%284x%2B5%29%284x%2B5%29 Expand. Remember something like x%5E2=x%2Ax



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


%28highlight%284x%29%2B5%29%28highlight%284x%29%2B5%29 Multiply the First terms:%284x%29%2A%284x%29=16x%5E2


%28highlight%284x%29%2B5%29%284x%2Bhighlight%285%29%29 Multiply the Outer terms:%284x%29%2A%285%29=20x


%284x%2Bhighlight%285%29%29%28highlight%284x%29%2B5%29 Multiply the Inner terms:%285%29%2A%284x%29=20x


%284x%2Bhighlight%285%29%29%284x%2Bhighlight%285%29%29 Multiply the Last terms:%285%29%2A%285%29=25


16x%5E2%2B20x%2B20x%2B25 Now collect every term to make a single expression



16x%5E2%2B40x%2B25 Now combine like terms


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Answer:
So %284x%2B5%29%5E2 foils and simplifies to 16x%5E2%2B40x%2B25

In other words, %284x%2B5%29%5E2=16x%5E2%2B40x%2B25