document.write( "Question 109200: Solve the equation:\r
\n" ); document.write( "\n" ); document.write( "y^2 - 3y - 18 over y^2 - 4 divided by y^2 + 5y + 6 over y - 2
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Algebra.Com's Answer #79645 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28%28y%5E2-3y-18%29%2F%28y%5E2-4%29%29%2F%28%28y%5E2%2B5y%2B6%29%2F%28y-2%29%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28y%5E2-3y-18%29%2F%28y%5E2-4%29%29%2A%28%28y-2%29%2F%28y%5E2%2B5y%2B6%29%29\" Multiply the first fraction by the reciprocal of the second fraction\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28y-6%29%28y%2B3%29%29%2F%28y%5E2-4%29%29%2A%28%28y-2%29%2F%28y%5E2%2B5y%2B6%29%29\" Factor \"y%5E2-3y-18\" to get \"%28y-6%29%28y%2B3%29\" (note: if you need help with factoring, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( " Factor \"y%5E2-4\" to get \"%28y-2%29%28y%2B2%29\" \r
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\n" ); document.write( "\n" ); document.write( " Factor \"y%5E2%2B5y%2B6\" to get \"%28y%2B3%29%28y%2B2%29\"\r
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\n" ); document.write( "\n" ); document.write( " Cancel like terms\r
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\n" ); document.write( "\n" ); document.write( "\"%28y-6%29%2F%28%28y%2B2%29%28y%2B2%29%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"%28y-6%29%2F%28y%2B2%29%5E2\" Collect like terms\r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28y%5E2-3y-18%29%2F%28y%5E2-4%29%29%2F%28%28y%5E2%2B5y%2B6%29%2F%28y-2%29%29\" simplifies to \"%28y-6%29%2F%28y%2B2%29%5E2\"
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