document.write( "Question 44838: Hello!\r
\n" ); document.write( "\n" ); document.write( "I have been frustrated by the following problem in my College Algebra online course where the following equation escapes simplification to the point indicated by the answers in the back:\r
\n" ); document.write( "\n" ); document.write( "(x-1)/(x+1) - 2/(x^2+x)\r
\n" ); document.write( "\n" ); document.write( "(the book's answer is (x-2)/x\r
\n" ); document.write( "\n" ); document.write( "Would you know how one arrives (simplifies) to that result ?\r
\n" ); document.write( "\n" ); document.write( "thank you for your attention!\r
\n" ); document.write( "\n" ); document.write( "alex
\n" ); document.write( "

Algebra.Com's Answer #29711 by adamchapman(301)\"\" \"About 
You can put this solution on YOUR website!
\"%28x-1%29%2F%28x%2B1%29+-+2%2F%28x%5E2%2Bx%29+\"
\n" ); document.write( "Notice that \"x%5E2%2Bx=x%28x%2B1%29\"
\n" ); document.write( "So:
\n" ); document.write( "\"%28x-1%29%2F%28x%2B1%29+-+2%2F%28x%5E2%2Bx%29+=%28x-1%29%2F%28x%2B1%29+-+2%2Fx%28x%2B1%29+\"
\n" ); document.write( "Now multiply top and bottom of the first fraction by x:
\n" ); document.write( "\"%28x%28x-1%29%29%2F%28x%28x%2B1%29%29+-+2%2F%28x%28x%2B1%29%29\"
\n" ); document.write( "And simplify:
\n" ); document.write( "\"%28x%28x-1%29-2%29%2F%28x%28x%2B1%29%29+\"
\n" ); document.write( "\"%28x%5E2-x-2%29%2F%28x%28x%2B1%29%29+\"
\n" ); document.write( "Factorise the top:
\n" ); document.write( "\"%28%28x%2B1%29%28x-2%29%29%2F%28x%28x%2B1%29%29+\"
\n" ); document.write( "The (X+1)'s cancel so:
\n" ); document.write( "\"%28x-2%29%2Fx+\"
\n" ); document.write( "Theres your answer. Dude!
\n" ); document.write( "I hope this helps.
\n" ); document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
\n" ); document.write( "Adam\r
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