document.write( "Question 184586: simplify and give restrictions\r
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\n" ); document.write( "\n" ); document.write( "x squared + 3xy + 2y squared
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Algebra.Com's Answer #138540 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"%28x%5E2-y%5E2%29%2F%28x%5E2%2B3xy%2B2y%5E2%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-y%29%2A%28x%2By%29%29%2F%28x%5E2%2B3xy%2B2y%5E2%29\" Factor \"x%5E2-y%5E2\" to get \"%28x-y%29%2A%28x%2By%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-y%29%2A%28x%2By%29%29%2F%28%28x%2B2y%29%28x%2By%29%29\" Factor \"x%5E2%2B3xy%2B2y%5E2\" to get \"%28x%2B2y%29%28x%2By%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-y%29highlight%28%28x%2By%29%29%29%2F%28%28x%2B2y%29highlight%28%28x%2By%29%29%29\" Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x-y%29cross%28%28x%2By%29%29%29%2F%28%28x%2B2y%29cross%28%28x%2By%29%29%29\" Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( "\"%28x-y%29%2F%28x%2B2y%29\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E2-y%5E2%29%2F%28x%5E2%2B3xy%2B2y%5E2%29\" simplifies to \"%28x-y%29%2F%28x%2B2y%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28x%5E2-y%5E2%29%2F%28x%5E2%2B3xy%2B2y%5E2%29=%28x-y%29%2F%28x%2B2y%29\" where \"x%3C%3E-y\" or \"x%3C%3E-2y\"\r
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