document.write( "Question 169795: Simplify
\n" ); document.write( "x^2+x-2/x^2-1 \n" ); document.write( "
Algebra.Com's Answer #125188 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Bx-2%29%2F%28x%5E2-1%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B2%29%28x-1%29%29%2F%28x%5E2-1%29\" Factor \"x%5E2%2Bx-2\" to get \"%28x%2B2%29%28x-1%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B2%29%28x-1%29%29%2F%28%28x-1%29%28x%2B1%29%29\" Factor \"x%5E2-1\" to get \"%28x-1%29%28x%2B1%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B2%29highlight%28%28x-1%29%29%29%2F%28highlight%28%28x-1%29%29%28x%2B1%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B2%29cross%28%28x-1%29%29%29%2F%28cross%28%28x-1%29%29%28x%2B1%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%2F%28x%2B1%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E2%2Bx-2%29%2F%28x%5E2-1%29\" simplifies to \"%28x%2B2%29%2F%28x%2B1%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28x%5E2%2Bx-2%29%2F%28x%5E2-1%29=%28x%2B2%29%2F%28x%2B1%29\" where \"x%3C%3E-1\" or \"x%3C%3E1\"
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