document.write( "Question 333715: Simplify.\r
\n" ); document.write( "\n" ); document.write( "v^2+8v+7/3v^2+18v-21
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Algebra.Com's Answer #239139 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28v%5E2%2B8v%2B7%29%2F%283v%5E2%2B18v-21%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28v%2B7%29%28v%2B1%29%29%2F%283v%5E2%2B18v-21%29\" Factor \"v%5E2%2B8v%2B7\" to get \"%28v%2B7%29%28v%2B1%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28v%2B7%29%28v%2B1%29%29%2F%283%28v%2B7%29%28v-1%29%29\" Factor \"3v%5E2%2B18v-21\" to get \"3%28v%2B7%29%28v-1%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28highlight%28%28v%2B7%29%29%28v%2B1%29%29%2F%283%2Ahighlight%28%28v%2B7%29%29%28v-1%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28v%2B7%29%29%28v%2B1%29%29%2F%283%2Across%28%28v%2B7%29%29%28v-1%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28v%2B1%29%2F%283%28v-1%29%29\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"%28v%2B1%29%2F%283v-3%29\" Distribute. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28v%5E2%2B8v%2B7%29%2F%283v%5E2%2B18v-21%29\" simplifies to \"%28v%2B1%29%2F%283v-3%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28v%5E2%2B8v%2B7%29%2F%283v%5E2%2B18v-21%29=%28v%2B1%29%2F%283v-3%29\"
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