SOLUTION: Please help me solve this! (x to the fifth + 6)(x+8) This is college algebra, please help me.

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Question 487009: Please help me solve this! (x to the fifth + 6)(x+8) This is college algebra, please help me.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E5%2B6%29%28x%2B8%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28x%5E5%29%2B6%29%28highlight%28x%29%2B8%29 Multiply the First terms:%28x%5E5%29%2A%28x%29=x%5E6.


%28highlight%28x%5E5%29%2B6%29%28x%2Bhighlight%288%29%29 Multiply the Outer terms:%28x%5E5%29%2A%288%29=8%2Ax%5E5.


%28x%5E5%2Bhighlight%286%29%29%28highlight%28x%29%2B8%29 Multiply the Inner terms:%286%29%2A%28x%29=6%2Ax.


%28x%5E5%2Bhighlight%286%29%29%28x%2Bhighlight%288%29%29 Multiply the Last terms:%286%29%2A%288%29=48.


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So we have the terms: x%5E6, 8%2Ax%5E5, 6%2Ax, 48


x%5E6%2B8x%5E5%2B6x%2B48 Now add every term listed above to make a single expression.


So %28x%5E5%2B6%29%28x%2B8%29 FOILs to x%5E6%2B8x%5E5%2B6x%2B48.


In other words, %28x%5E5%2B6%29%28x%2B8%29=x%5E6%2B8x%5E5%2B6x%2B48.