document.write( "Question 376614: Subtract and simplify
\n" ); document.write( "3/x^2+10x-56 - 2/x^2+16x+28
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Algebra.Com's Answer #267915 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"3%2F%28x%5E2%2B10x-56%29+-+2%2F%28x%5E2%2B16x%2B28%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"3%2F%28%28x-4%29%28x%2B14%29%29+-+2%2F%28x%5E2%2B16x%2B28%29\" Factor the first denominator.\r
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\n" ); document.write( "\n" ); document.write( "\"3%2F%28%28x-4%29%28x%2B14%29%29+-+2%2F%28%28x%2B2%29%28x%2B14%29%29\" Factor the second denominator.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the LCD is \"%28x%2B2%29%28x-4%29%28x%2B14%29\"\r
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\n" ); document.write( "\n" ); document.write( " Multiply the first fraction by \"%28x%2B2%29%2F%28x%2B2%29\" (to get the denominator equal to the LCD)\r
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\n" ); document.write( " Multiply the second fraction by \"%28x-4%29%2F%28x-4%29\" (to get the denominator equal to the LCD)\r
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\n" ); document.write( "\n" ); document.write( " Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%2B6-+%282x-8%29%29%2F%28%28x%2B2%29%28x-4%29%28x%2B14%29%29\" Combine the numerators and place them over the LCD\r
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\n" ); document.write( "\n" ); document.write( "\"%283x%2B6-2x%2B8%29%2F%28%28x%2B2%29%28x-4%29%28x%2B14%29%29\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B14%29%2F%28%28x%2B2%29%28x-4%29%28x%2B14%29%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28%28x%2B14%29%29%2F%28%28x%2B2%29%28x-4%29highlight%28%28x%2B14%29%29%29\" Highlight the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"cross%28%28x%2B14%29%29%2F%28%28x%2B2%29%28x-4%29cross%28%28x%2B14%29%29%29\" Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F%28%28x%2B2%29%28x-4%29%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F%28x%5E2-2x-8%29\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "So \"3%2F%28x%5E2%2B10x-56%29+-+2%2F%28x%5E2%2B16x%2B28%29=1%2F%28x%5E2-2x-8%29\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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