document.write( "Question 903819: How do I fully factor this?\r
\n" ); document.write( "\n" ); document.write( "\"x%5E5+-x%5E3+%2B+27x%5E2+-27\"\r
\n" ); document.write( "\n" ); document.write( "My attempt:\r
\n" ); document.write( "\n" ); document.write( "I took x^3 and 27 to put them in one place. They factor into
\n" ); document.write( "\"%28x+%2B+3%29+%28x%5E2+-+3x+%2B+9%29+\"
\n" ); document.write( "However, the full answer is
\n" ); document.write( "\"%28x%2B3%29+%28x%5E2+-+3x+%2B+9%29+%28x-1%29%28x%2B1%29\"
\n" ); document.write( "What are the steps on fully factoring this?
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Algebra.Com's Answer #548309 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x%5E5+-x%5E3+%2B+27x%5E2+-27\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E5+-x%5E3%29+%2B+%2827x%5E2+-27%29\" Group\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%28x%5E2+-1%29+%2B+27%28x%5E2+-1%29\" Factor each group\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E3%2B27%29%28x%5E2+-1%29\" Factor out \"x%5E2-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B3%29%28x%5E2-3x%2B9%29%28x%5E2+-1%29\" Factor \"x%5E3%2B27\" (use sum of cubes rule)\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B3%29%28x%5E2-3x%2B9%29%28x-1%29%28x%2B1%29\" Factor \"x%5E2-1\" (use difference of squares rule)
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