document.write( "Question 198378: How would you simplify (1+(1/x))/(1-(1/x^2))? \n" ); document.write( "
Algebra.Com's Answer #148879 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281%2B%281%2Fx%29%29%2F%281-%281%2Fx%5E2%29%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply EVERY term by the inner LCD \"x%5E2\" to clear out the inner fractions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Bx%29%2F%28x%5E2-1%29\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%28x%2B1%29%29%2F%28x%5E2-1%29\" Factor the numerator\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%28x%2B1%29%29%2F%28%28x%2B1%29%28x-1%29%29\" Factor the denominator\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2Across%28%28x%2B1%29%29%29%2F%28cross%28%28x%2B1%29%29%28x-1%29%29\" Cancel out the common terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2F%28x-1%29\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%281%2B%281%2Fx%29%29%2F%281-%281%2Fx%5E2%29%29=x%2F%28x-1%29\"
\n" ); document.write( "
\n" );