document.write( "Question 167721: Simplify the rational expression:
\n" ); document.write( "x2 + 3x – 10/ x2 + x – 20
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Algebra.Com's Answer #123629 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28x%5E2%2B3x-10%29%2F%28x%5E2%2Bx-20%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B5%29%28x-2%29%29%2F%28x%5E2%2Bx-20%29\" Factor \"x%5E2%2B3x-10\" to get \"%28x%2B5%29%28x-2%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B5%29%28x-2%29%29%2F%28%28x%2B5%29%28x-4%29%29\" Factor \"x%5E2%2Bx-20\" to get \"%28x%2B5%29%28x-4%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%28%28x%2B5%29%29%28x-2%29%29%2F%28highlight%28%28x%2B5%29%29%28x-4%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28x%2B5%29%29%28x-2%29%29%2F%28cross%28%28x%2B5%29%29%28x-4%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28x-2%29%2F%28x-4%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E2%2B3x-10%29%2F%28x%5E2%2Bx-20%29\" simplifies to \"%28x-2%29%2F%28x-4%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28x%5E2%2B3x-10%29%2F%28x%5E2%2Bx-20%29=%28x-2%29%2F%28x-4%29\" where \"x%3C%3E-5\" or \"x%3C%3E4\"
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