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x^4-3x^2+2

x to the power of 4 minus 3 x squared plus 2
equals x to the power of 4 minus x squared minus 2 x squared plus 2
equals x squared left parenthesis x squared minus 1 right parenthesis minus 2 left parenthesis x squared minus 1 right parenthesis
equals left parenthesis x squared minus 1 right parenthesis left parenthesis x squared minus 2 right parenthesis
equals left parenthesis x squared minus 1 right parenthesis left parenthesis x squared minus left parenthesis square root of 2 right parenthesis squared right parenthesis
equals left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis left parenthesis x plus square root of 2 right parenthesis left parenthesis x minus square root of 2 right parenthesis space space space space space space left square bracket u s e space a squared minus b squared equals left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis right square bracket

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