document.write( "Question 152265: How do you simplify an rational expression like: 6-y/y^2-2y-24, whats the answer? \n" ); document.write( "
Algebra.Com's Answer #111919 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Remember, the key to simplifying rational expressions or fractions is to factor\r
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\n" ); document.write( "\n" ); document.write( "\"%286-y%29%2F%28y%5E2-2y-24%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-%28y-6%29%29%2F%28y%5E2-2y-24%29\" Factor \"6-y\" to get \"-%28y-6%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28-%28y-6%29%29%2F%28%28y%2B4%29%2A%28y-6%29%29\" Factor \"y%5E2-2y-24\" to get \"%28y%2B4%29%2A%28y-6%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28-highlight%28%28y-6%29%29%29%2F%28%28y%2B4%29highlight%28%28y-6%29%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28-cross%28%28y-6%29%29%29%2F%28%28y%2B4%29cross%28%28y-6%29%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"-%281%29%2F%28y%2B4%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%286-y%29%2F%28y%5E2-2y-24%29\" simplifies to \"-%281%29%2F%28y%2B4%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%286-y%29%2F%28y%5E2-2y-24%29=-%281%29%2F%28y%2B4%29\" where \"y%3C%3E-4\" or \"y%3C%3E6\"
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