document.write( "Question 183023: Divide and show steps\r
\n" ); document.write( "\n" ); document.write( "2x^2+5x-12
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\n" ); document.write( "\n" ); document.write( "2x^2-7x+6
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\n" ); document.write( "3x^2-x-4
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Algebra.Com's Answer #137393 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28%282x%5E2%2B5x-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%282x%5E2%2B5x-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 \"%282x%5E2%2B5x-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 \"2x%5E2%2B5x-12\" to get \"%28x%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( "\"%28%28x%2B4%29%28x%2B1%29%29%2F%28%283x%2B4%29%28x-2%29%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28%282x%5E2%2B5x-12%29%2F%289x%5E2-16%29%29%2F%28%282x%5E2-7x%2B6%29%2F%283x%5E2-x-4%29%29\" simplifies to \"%28%28x%2B4%29%28x%2B1%29%29%2F%28%283x%2B4%29%28x-2%29%29\".\r
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