document.write( "Question 153225: For all r not equal to + or - 2, r^2-5r+6/r^2-4 \n" ); document.write( "
Algebra.Com's Answer #112759 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%28r%5E2-5r%2B6%29%2F%28r%5E2-4%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28r-2%29%28r-3%29%29%2F%28r%5E2-4%29\" Factor \"r%5E2-5r%2B6\" to get \"%28r-2%29%28r-3%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28r-2%29%28r-3%29%29%2F%28%28r-2%29%28r%2B2%29%29\" Factor \"r%5E2-4\" to get \"%28r-2%29%28r%2B2%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%28%28r-2%29%29%28r-3%29%29%2F%28highlight%28%28r-2%29%29%28r%2B2%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28r-2%29%29%28r-3%29%29%2F%28cross%28%28r-2%29%29%28r%2B2%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28r-3%29%2F%28r%2B2%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28r%5E2-5r%2B6%29%2F%28r%5E2-4%29\" simplifies to \"%28r-3%29%2F%28r%2B2%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28r%5E2-5r%2B6%29%2F%28r%5E2-4%29=%28r-3%29%2F%28r%2B2%29\" where \"r%3C%3E-2\" or \"r%3C%3E2\"
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