document.write( "Question 178412: Would someone please help me with this.\r
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\n" ); document.write( "\n" ); document.write( "6x^2-x-12/9x^2-16 divided by 2x^2-7x+6/3x^2-x-4\r
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Algebra.Com's Answer #133379 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28%286x%5E2-x-12%29%2F%289x%5E2-16%29%29%2F%28%282x%5E2-7x%2B6%29%2F%283x%5E2-x-4%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%286x%5E2-x-12%29%2F%289x%5E2-16%29%29%28%283x%5E2-x-4%29%2F%282x%5E2-7x%2B6%29%29\" Multiply the first fraction \"%286x%5E2-x-12%29%2F%289x%5E2-16%29\" by the reciprocal of the second fraction \"%282x%5E2-7x%2B6%29%2F%283x%5E2-x-4%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"6x%5E2-x-12\" to get \"%283x%2B4%29%282x-3%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"9x%5E2-16\" to get \"%283x-4%29%283x%2B4%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"3x%5E2-x-4\" to get \"%28x%2B1%29%283x-4%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"2x%5E2-7x%2B6\" to get \"%282x-3%29%28x-2%29\".\r
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\n" ); document.write( "\n" ); document.write( " 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( "\"%28x%2B1%29%2F%28x-2%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So \"%28%286x%5E2-x-12%29%2F%289x%5E2-16%29%29%2F%28%282x%5E2-7x%2B6%29%2F%283x%5E2-x-4%29%29\" simplifies to \"%28x%2B1%29%2F%28x-2%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, where \"x%3C%3E-4%2F3\", \"x%3C%3E4%2F3\", \"x%3C%3E-3%2F2\", \"x%3C%3E3%2F2\", \"x%3C%3E2\", or \"x%3C%3E-1\".
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