document.write( "Question 69219: find the LCD of
\n" ); document.write( " 1 1
\n" ); document.write( "------- + ------
\n" ); document.write( "1 - x^2 x - 1 \n" ); document.write( "

Algebra.Com's Answer #49256 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
find the LCD of
\n" ); document.write( " 1 1
\n" ); document.write( "------- + ------
\n" ); document.write( "1 - x^2 x - 1\r
\n" ); document.write( "\n" ); document.write( "============================
\n" ); document.write( "Multiply numerator and denominator of the 1st fraction
\n" ); document.write( "by negative one to get:\r
\n" ); document.write( "\n" ); document.write( "[-1/(x^2-1)] + [1/(x-1)]\r
\n" ); document.write( "\n" ); document.write( "Factor to get:\r
\n" ); document.write( "\n" ); document.write( "=[-1/(x-1)(x+1)] + [1/(x-1)]\r
\n" ); document.write( "\n" ); document.write( "The lcd is (x-1)(x+1)\r
\n" ); document.write( "\n" ); document.write( "Rewrite each fraction with the lcd as its denominator:\r
\n" ); document.write( "\n" ); document.write( "=[-1/lcd + (x+1)/lcd]\r
\n" ); document.write( "\n" ); document.write( "Combine the numerators to get:\r
\n" ); document.write( "\n" ); document.write( "=[-1+x+1]/lcd\r
\n" ); document.write( "\n" ); document.write( "=x/(x+1)(x-1)\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "= \n" ); document.write( "

\n" );