document.write( "Question 195802: I need to divide and simplify this problem.\r
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\n" ); document.write( "x^2-14x+49 x^2-2x-35\r
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Algebra.Com's Answer #146823 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2-1%29%2F%28x%5E2-14x%2B49%29%29%2F%28%284x-4%29%2F%28x%5E2-2x-35%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2-1%29%2F%28x%5E2-14x%2B49%29%29%28%28x%5E2-2x-35%29%2F%284x-4%29%29\" Multiply the first fraction \"%28x%5E2-1%29%2F%28x%5E2-14x%2B49%29\" by the reciprocal of the second fraction \"%284x-4%29%2F%28x%5E2-2x-35%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"x%5E2-1\" to get \"%28x-1%29%28x%2B1%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"x%5E2-14x%2B49\" to get \"%28x-7%29%28x-7%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"x%5E2-2x-35\" to get \"%28x%2B5%29%28x-7%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"4x-4\" to get \"4%28x-1%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-1%29%28x%2B1%29%28x%2B5%29%28x-7%29%29%2F%284%28x-7%29%28x-7%29%28x-1%29%29\" 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%2B1%29%28x%2B5%29%29%2F%284%28x-7%29%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B6x%2B5%29%2F%284%28x-7%29%29\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B6x%2B5%29%2F%284x-28%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28x%5E2-1%29%2F%28x%5E2-14x%2B49%29%29%2F%28%284x-4%29%2F%28x%5E2-2x-35%29%29\" simplifies to \"%28x%5E2%2B6x%2B5%29%2F%284x-28%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, where \"x%3C%3E-5\", \"x%3C%3E1\", or \"x%3C%3E7\"\r
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