document.write( "Question 288479: Simplify the rational expression:\r
\n" ); document.write( "\n" ); document.write( "x to the 3rd power - 1
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\n" ); document.write( "\n" ); document.write( "1-x \n" ); document.write( "

Algebra.Com's Answer #209120 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%5E3-1%29%2F%281-x%29\"$
\n" ); document.write( "Recognize (x^3 - 1) as the difference of squares, which factors, so you have;
\n" ); document.write( " $\"%28%28x-1%29%28x%5E2%2Bx%2B1%29%29%2F%281-x%29\"$
\n" ); document.write( "Rewrite (1-x)
\n" ); document.write( " $\"%28%28x-1%29%28x%5E2%2Bx%2B1%29%29%2F%28-1%28x-1%29%29\"$
\n" ); document.write( "cancel (x-1)
\n" ); document.write( " $\"%28x%5E2%2Bx%2B1%29%2F-1\"$ = $\"-%28x%5E2%2Bx%2B1%29\"$ \n" ); document.write( "

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