SOLUTION: A parallelogram has base (2x-3)and height (2x+3). Express the area in simplest form

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Question 118608: A parallelogram has base (2x-3)and height (2x+3). Express the area in simplest form
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the area of any parallelogram is: Area=base * height


So in our case, the area is:

A=%282x-3%29%282x%2B3%29

Now let's foil the expression to get the area


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


%28highlight%282x%29-3%29%28highlight%282x%29%2B3%29 Multiply the First terms:%282x%29%2A%282x%29=4x%5E2


%28highlight%282x%29-3%29%282x%2Bhighlight%283%29%29 Multiply the Outer terms:%282x%29%2A%283%29=6x


%282x%2Bhighlight%28-3%29%29%28highlight%282x%29%2B3%29 Multiply the Inner terms:%28-3%29%2A%282x%29=-6x


%282x%2Bhighlight%28-3%29%29%282x%2Bhighlight%283%29%29 Multiply the Last terms:%28-3%29%2A%283%29=-9


4x%5E2%2B6x-6x-9 Now collect every term to make a single expression



4x%5E2-9 Now combine like terms



So %282x-3%29%282x%2B3%29 foils and simplifies to 4x%5E2-9

In other words, %282x-3%29%282x%2B3%29=4x%5E2-9



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Answer:


So the area is A=4x%5E2-9