document.write( "Question 152262: How do you simplify a rational expression like: t^2-25/t^2+t-20, whats the answer? \n" ); document.write( "
Algebra.Com's Answer #111921 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28t%5E2-25%29%2F%28t%5E2%2Bt-20%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28t-5%29%2A%28t%2B5%29%29%2F%28t%5E2%2Bt-20%29\" Factor \"t%5E2-25\" to get \"%28t-5%29%2A%28t%2B5%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28t-5%29%2A%28t%2B5%29%29%2F%28%28t%2B5%29%2A%28t-4%29%29\" Factor \"t%5E2%2Bt-20\" to get \"%28t%2B5%29%2A%28t-4%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28t-5%29highlight%28%28t%2B5%29%29%29%2F%28highlight%28%28t%2B5%29%29%28t-4%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28%28t-5%29cross%28%28t%2B5%29%29%29%2F%28cross%28%28t%2B5%29%29%28t-4%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28t-5%29%2F%28t-4%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28t%5E2-25%29%2F%28t%5E2%2Bt-20%29\" simplifies to \"%28t-5%29%2F%28t-4%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28t%5E2-25%29%2F%28t%5E2%2Bt-20%29=%28t-5%29%2F%28t-4%29\" where \"t%3C%3E-5\" or \"t%3C%3E4\"
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