document.write( "Question 149578: Rational Expressions and Equations\r
\n" ); document.write( "\n" ); document.write( "Reduce to the lowest terms:
\n" ); document.write( " 18x2 + 48x + 32
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\n" ); document.write( "\n" ); document.write( "Divide the algebric expression:
\n" ); document.write( " x - 2 / x - 2
\n" ); document.write( " x + 2 5 \r
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Algebra.Com's Answer #109731 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 1\r
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\n" ); document.write( "\n" ); document.write( "\"%2818x%5E2%2B48x%2B32%29%2F%283x%2B4%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%282%283x%2B4%29%283x%2B4%29%29%2F%283x%2B4%29\" Factor \"18x%5E2%2B48x%2B32\" to get \"2%283x%2B4%29%283x%2B4%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%282highlight%28%283x%2B4%29%29%283x%2B4%29%29%2Fhighlight%28%283x%2B4%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%282cross%28%283x%2B4%29%29%283x%2B4%29%29%2Fcross%28%283x%2B4%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"2%283x%2B4%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "\"6x%2B8\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "So \"%2818x%5E2%2B48x%2B32%29%2F%283x%2B4%29\" simplifies to \"6x%2B8\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%2818x%5E2%2B48x%2B32%29%2F%283x%2B4%29=6x%2B8\" where \"x%3C%3E-4%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "# 2\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-2%29%2F%28x%2B2%29%29%2F%28%28x-2%29%2F%285%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-2%29%2F%28x%2B2%29%29%28%285%29%2F%28x-2%29%29\" Multiply the first fraction \"%28x-2%29%2F%28x%2B2%29\" by the reciprocal of the second fraction \"%28x-2%29%2F%285%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%285%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%29\" Combine the fractions. \r
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\n" ); document.write( "\n" ); document.write( "\"%285highlight%28x-2%29%29%2F%28%28x%2B2%29highlight%28x-2%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%285cross%28x-2%29%29%2F%28%28x%2B2%29cross%28x-2%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%285%29%2F%28x%2B2%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28x-2%29%2F%28x%2B2%29%29%2F%28%28x-2%29%2F%285%29%29\" simplifies to \"%285%29%2F%28x%2B2%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28%28x-2%29%2F%28x%2B2%29%29%2F%28%28x-2%29%2F%285%29%29=%285%29%2F%28x%2B2%29\" where \"x%3C%3E-2\" or \"x%3C%3E2\"
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