document.write( "Question 158977: (t² - 2t - 3)/(t² - 1) • (3t - 3)/(t² - 4t + 3) \n" ); document.write( "
Algebra.Com's Answer #117074 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"%28%28t%5E2-2t-3%29%2F%28t%5E2-1%29%29%28%283t-3%29%2F%28t%5E2-4t%2B3%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28t%2B1%29%2A%28t-3%29%29%2F%28t%5E2-1%29%29%28%283t-3%29%2F%28t%5E2-4t%2B3%29%29\" Factor \"t%5E2-2t-3\" to get \"%28t%2B1%29%2A%28t-3%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"t%5E2-1\" to get \"%28t-1%29%2A%28t%2B1%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"3t-3\" to get \"3%28t-1%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"t%5E2-4t%2B3\" to get \"%28t-1%29%2A%28t-3%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28t%2B1%29%2A%28t-3%293%28t-1%29%29%2F%28%28t-1%29%2A%28t%2B1%29%28t-1%29%2A%28t-3%29%29\" Combine the fractions. \r
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\n" ); document.write( "\n" ); document.write( " Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( " Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%283%29%2F%28t-1%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28t%5E2-2t-3%29%2F%28t%5E2-1%29%29%28%283t-3%29%2F%28t%5E2-4t%2B3%29%29\" simplifies to \"%283%29%2F%28t-1%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, where \"t%3C%3E-1\", \"t%3C%3E1\", or \"t%3C%3E3\"
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