document.write( "Question 1092954: What is the difference of the factors of the expression x^2 + (1/x^2) – 6? \n" ); document.write( "
Algebra.Com's Answer #707569 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
x^2 + (1/x^2) – 6 =
\n" ); document.write( ":
\n" ); document.write( "(x^4 + 1 -6x^2) / x^2 =
\n" ); document.write( ":
\n" ); document.write( "(x^2 -2x - 1)(x^2 +2x - 1) / x^2
\n" ); document.write( ":
\n" ); document.write( "((-x + sqrt(2) - 1) (-x + sqrt(2) + 1) (x + sqrt(2) - 1) (x + sqrt(2) + 1))/x^2
\n" ); document.write( ":
\n" ); document.write( "****************************************
\n" ); document.write( "-x + sqrt(2) - 1 + x - sqrt(2) - 1 = -2
\n" ); document.write( ":
\n" ); document.write( "-x + sqrt(2) - 1 - x - sqrt(2) + 1 = -2x
\n" ); document.write( ":
\n" ); document.write( "-x + sqrt(2) - 1 -x - sqrt(2) - 1 = -2x - 2
\n" ); document.write( ":
\n" ); document.write( "-x + sqrt(2) + 1 + x - sqrt(2) + 1 = 2
\n" ); document.write( ":
\n" ); document.write( "-x + sqrt(2) + 1 - x - sqrt(2) + 1 = -2x + 2
\n" ); document.write( ":
\n" ); document.write( "-x + sqrt(2) + 1 - x - sqrt(2) - 1 = -2x
\n" ); document.write( "**********************************************
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );