SOLUTION: Multiply: x(x+1)(x-1)

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Question 176963This question is from textbook
: Multiply: x(x+1)(x-1) This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, let's multiply out %28x%2B1%29%28x-1%29


%28x%2B1%29%28x-1%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28x%29%2B1%29%28highlight%28x%29-1%29 Multiply the First terms:%28x%29%2A%28x%29=x%5E2.


%28highlight%28x%29%2B1%29%28x%2Bhighlight%28-1%29%29 Multiply the Outer terms:%28x%29%2A%28-1%29=-x.


%28x%2Bhighlight%281%29%29%28highlight%28x%29-1%29 Multiply the Inner terms:%281%29%2A%28x%29=x.


%28x%2Bhighlight%281%29%29%28x%2Bhighlight%28-1%29%29 Multiply the Last terms:%281%29%2A%28-1%29=-1.


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x%5E2-x%2Bx-1 Now collect every term to make a single expression.


x%5E2-1 Now combine like terms.


So %28x%2B1%29%28x-1%29 FOILs to x%5E2-1.


In other words, %28x%2B1%29%28x-1%29=x%5E2-1.


So this means that x%28x%2B1%29%28x-1%29=x%28x%5E2-1%29


x%28x%5E2-1%29 Start with the given expression.


x%5E3-x Distribute


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Answer:

So x%28x%2B1%29%28x-1%29=x%5E3-x