document.write( "Question 173199This question is from textbook Introductory Algebra
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\n" ); document.write( "\n" ); document.write( "x^2 + 7x + 10/x + 5 divided by x^2 - 4/5x - 10 \n" ); document.write( "
Algebra.Com's Answer #128071 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2%2B7x%2B10%29%2F%28x%2B5%29%29%2F%28%28x%5E2-4%29%2F%285x-10%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%5E2%2B7x%2B10%29%2F%28x%2B5%29%29%28%285x-10%29%2F%28x%5E2-4%29%29\" Multiply the first fraction \"%28x%5E2%2B7x%2B10%29%2F%28x%2B5%29\" by the reciprocal of the second fraction \"%28x%5E2-4%29%2F%285x-10%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28x%2B5%29%28x%2B2%29%29%2F%28x%2B5%29%29%28%285x-10%29%2F%28x%5E2-4%29%29\" Factor \"x%5E2%2B7x%2B10\" to get \"%28x%2B5%29%28x%2B2%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28x%2B5%29%28x%2B2%29%29%2F%28x%2B5%29%29%28%285%28x-2%29%29%2F%28x%5E2-4%29%29\" Factor \"5x-10\" to get \"5%28x-2%29\".\r
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\n" ); document.write( "\n" ); document.write( " Factor \"x%5E2-4\" to get \"%28x-2%29%28x%2B2%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%285%28x%2B5%29%28x%2B2%29%28x-2%29%29%2F%28%28x%2B5%29%28x-2%29%28x%2B2%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( "\"5\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28x%5E2%2B7x%2B10%29%2F%28x%2B5%29%29%2F%28%28x%5E2-4%29%2F%285x-10%29%29\" simplifies to \"5\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28%28x%5E2%2B7x%2B10%29%2F%28x%2B5%29%29%2F%28%28x%5E2-4%29%2F%285x-10%29%29=5\" where \"x%3C%3E-5\", \"x%3C%3E-2\" or \"x%3C%3E2\"
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