SOLUTION: Simplify (x2 + x + 1) • (x -1)

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Question 647905: Simplify (x2 + x + 1) • (x -1)
Answer by Algebraic(50) About Me  (Show Source):
You can put this solution on YOUR website!
Original equation: %28x%5E2+%2B+x+%2B+1%29%28x+-1%29
Step 1: Distribute every term on the left side to everything on the right side like so:
%28x%5E2+%2B+x+%2B+1%29%28x+-1%29
You must multiply x%5E2%29 to the x and to the -1.
Then, you move on to the x and multiply it with the x from the other equation and to the -1 in the other equation as well.
Lastly, distribute the 1 to the x in the other equation and the -1
After distributing you get: x%5E3+-+x%5E2+%2B+x%5E2+-+x+%2B+x+-+1
Step 2: Combine like terms
x%5E3+-+x%5E2+%2B+x%5E2+-+x+%2B+x+-+1
The -+x%5E2+%2B+x%5E2 cancel out and so does the -+x+%2B+x
Your answer should look like this: x%5E3+-+1