document.write( "Question 105098: Factor completely:\r
\n" ); document.write( "\n" ); document.write( " x4 – 1
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #76470 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
Do you know the 'difference of two squares'? It states that \"a%5E2-b%5E2=%28a%2Bb%29%28a-b%29\"\r
\n" ); document.write( "\n" ); document.write( "This technique can be applied here.\r
\n" ); document.write( "\n" ); document.write( "Here, \"a=x%5E2\" and \"b=1\".\r
\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( "\"x%5E4-1=%28x%5E2%2B1%29%28x%5E2-1%29\"
\n" ); document.write( "Now, we had obtained \"x%5E2-1\". So, applying 'the difference of two squares again,
\n" ); document.write( "\"x%5E4-1=%28x%5E2%2B1%29%28x%2B1%29%28x-1%29\"\r
\n" ); document.write( "\n" ); document.write( "You're done!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain
\n" ); document.write( "
\n" );