SOLUTION: Factor completely: x4 – 1

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Question 105098: Factor completely:
x4 – 1
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Do you know the 'difference of two squares'? It states that a%5E2-b%5E2=%28a%2Bb%29%28a-b%29
This technique can be applied here.
Here, a=x%5E2 and b=1.
So,
x%5E4-1=%28x%5E2%2B1%29%28x%5E2-1%29
Now, we had obtained x%5E2-1. So, applying 'the difference of two squares again,
x%5E4-1=%28x%5E2%2B1%29%28x%2B1%29%28x-1%29
You're done!

Power up,
HyperBrain