SOLUTION: How do you factor out 9x^4 - 10x^2 + 1?

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Question 888296: How do you factor out 9x^4 - 10x^2 + 1?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

9x%5E4+-+10x%5E2+%2B+1....write -10x%5E2 as -9x%5E2-x%5E2
9x%5E4+-9x%5E2-x%5E2%2B+1....group
%289x%5E4+-9x%5E2%29-%28x%5E2-+1%29...factor out %289x%5E2%29 from the first group
9x%5E2%28x%5E2+-1%29-+%28x%5E2-+1%29 ...factor out %28x%5E2-+1%29

%289x%5E2-1%29%28x%5E2-1%29 ...factor %289x%5E2-+1%29: since %289x%5E2-+1%29= %28%283x%29%5E2-+1%29, we have

%283x-1%29+%283x%2B1%29+%28x-1%29+%28x%2B1%29