document.write( "Question 172179This question is from textbook Functions and Algebraic Methods
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Algebra.Com's Answer #127210 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x%2F%28x%5E2-9%29%2B3%2F%28x%5E2%2B6x%2B9%29%2B3%2F%286-2x%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F%28%28x%2B3%29%28x-3%29%29%2B3%2F%28x%5E2%2B6x%2B9%29%2B3%2F%286-2x%29\" Factor \"x%5E2-9\" to get \"%28x%2B3%29%28x-3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F%28%28x%2B3%29%28x-3%29%29%2B3%2F%28%28x%2B3%29%28x%2B3%29%29%2B3%2F%286-2x%29\" Factor \"x%5E2%2B6x%2B9\" to get \"%28x%2B3%29%28x%2B3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F%28%28x%2B3%29%28x-3%29%29%2B3%2F%28%28x%2B3%29%28x%2B3%29%29%2B3%2F%28-2%28x-3%29%29\" Factor \"6-2x\" to get \"2%283-x%29=-2%28x-3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F%28%28x%2B3%29%28x-3%29%29%2B3%2F%28%28x%2B3%29%28x%2B3%29%29-3%2F%282%28x-3%29%29\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "Take note that the LCD is \"2%28x%2B3%29%28x%2B3%29%28x-3%29\". So the goal is to get EVERY denominator equal to the LCD\r
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\n" ); document.write( "\n" ); document.write( " Multiply the first fraction by \"%282%28x%2B3%29%29%2F%282%28x%2B3%29%29\"\r
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\n" ); document.write( "\n" ); document.write( " Multiply the second fraction by \"%282%28x-3%29%29%2F%282%28x-3%29%29\"\r
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\n" ); document.write( "\n" ); document.write( " Multiply the third fraction by \"%28%28x%2B3%29%28x%2B3%29%29%2F%28%28x%2B3%29%28x%2B3%29%29\"\r
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\n" ); document.write( "\n" ); document.write( " FOIL\r
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\n" ); document.write( "\n" ); document.write( " Distribute\r
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\n" ); document.write( "\n" ); document.write( " Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%5E2%2B6x%2B6x-18-3x%5E2-18x-27%29%2F%282%28x%2B3%29%28x%2B3%29%28x-3%29%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"%28-x%5E2-6x-45%29%2F%282%28x%2B3%29%28x%2B3%29%28x-3%29%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"x%2F%28x%5E2-9%29%2B3%2F%28x%5E2%2B6x%2B9%29%2B3%2F%286-2x%29\" combines and simplifies to \"%28-x%5E2-6x-45%29%2F%282%28x%2B3%29%28x%2B3%29%28x-3%29%29\"
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