SOLUTION: multiply (2-5x^8)^2

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Question 243234: multiply (2-5x^8)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282-5x%5E8%29%5E2 Start with the given expression.


%282-5x%5E8%29%282-5x%5E8%29 Expand. Remember something like x%5E2=x%2Ax.


Now let's FOIL the expression.


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


%28highlight%282%29-5x%5E8%29%28highlight%282%29-5x%5E8%29 Multiply the First terms:%282%29%2A%282%29=4.


%28highlight%282%29-5x%5E8%29%282%2Bhighlight%28-5x%5E8%29%29 Multiply the Outer terms:%282%29%2A%28-5%2Ax%5E8%29=-10%2Ax%5E8.


%282%2Bhighlight%28-5x%5E8%29%29%28highlight%282%29-5x%5E8%29 Multiply the Inner terms:%28-5%2Ax%5E8%29%2A%282%29=-10%2Ax%5E8.


%282%2Bhighlight%28-5x%5E8%29%29%282%2Bhighlight%28-5x%5E8%29%29 Multiply the Last terms:%28-5%2Ax%5E8%29%2A%28-5%2Ax%5E8%29=25%2Ax%5E16.


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So we have the terms: 4, -10%2Ax%5E8, -10%2Ax%5E8, and 25%2Ax%5E16


4-10%2Ax%5E8-10%2Ax%5E8%2B25%2Ax%5E16 Now add every term listed above to make a single expression.


4-20%2Ax%5E8%2B25%2Ax%5E16 Now combine like terms.


So %282-5x%5E8%29%5E2 FOILs to 4-20%2Ax%5E8%2B25%2Ax%5E16.


In other words, %282-5x%5E8%29%5E2=4-20%2Ax%5E8%2B25%2Ax%5E16.