document.write( "Question 159532: 1/x+1 + 2x/x^2-2x+1 can be simplified to what? \n" ); document.write( "

Algebra.Com's Answer #117688 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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1/x+1 + 2x/x^2-2x+1 can be simplified to what?
\n" ); document.write( ":
\n" ); document.write( " $\"1%2F%28%28x%2B1%29%29\"$ + $\"%282x%29%2F%28%28x%5E2-2x%2B1%29%29\"$
\n" ); document.write( "Factoring won't help much here:
\n" ); document.write( "The common denominator: (x+1)(x^2-2x+1); so you have:
\n" ); document.write( " $\"%28%28x%5E2-2x%2B1%29+%2B+2x%28x%2B1%29%29%2F%28%28x%2B1%29%28x%5E2-2x%2B1%29%29\"$ = $\"%28%28x%5E2+-+2x+%2B+1+%2B+2x%5E2+%2B+2x%29%29%2F%28%28x%2B1%29%28x%5E2-2x%2B1%29%29\"$ = $\"%28%283x%5E2+%2B+1%29%29%2F%28%28x%2B1%29%28x%5E2-2x%2B1%29%29\"$
\n" ); document.write( "or
\n" ); document.write( " $\"%28%283x%5E2+%2B+1%29%29%2F%28%28x%2B1%29%28x-1%29%28x-1%29%29\"$
\n" ); document.write( "or
\n" ); document.write( " $\"%28%283x%5E2+%2B+1%29%29%2F%28%28x%2B1%29%28x-1%29%5E2%29\"$
\n" ); document.write( ":
\n" ); document.write( "Is that simpler? At least we end up with a single fraction.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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