SOLUTION: Factor x^12-x^4-x^3+1

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Question 79420: Factor x^12-x^4-x^3+1
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Factor x^12-x^4-x^3+1
%28x%5E12-x%5E4%29%2B%28-x%5E3%2B1%29 factor by grouping
x%5E4%28x%5E3-1%29-1%28x%5E3-1%29
%28x%5E4-1%29%28x%5E3-1%29
The difference of squares a^2-b^2=(a+b)(a-b)
The difference of cubes a^3-b^3=(a-b)(a^2+ab+b^2)
%28x%5E2%2B1%29%28x%5E2-1%29%28x-1%29%28x%5E2%2Bx%2B1%29
%28x%5E2%2B1%29%28x%2B1%29%28x-1%29%28x-1%29%28x%5E2%2Bx%2B1%29
This can be in a different order or like this:
%28x%2B1%29%28x-1%29%5E2%28x%5E2%2B1%29%28x%5E2%2Bx%2B1%29
Happy Calculating!!!!