document.write( "Question 152956: How do I factor completely x^8-1? \n" ); document.write( "
Algebra.Com's Answer #112416 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! this factors multiple times using the difference of squares\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^8-1=(x^4-1)(x^4+1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^4-1=(x^2-1)(x^2+1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-1=(x-1)(x+1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^8-1=(x^4+1)(x^2+1)(x+1)(x-1) \n" ); document.write( " |