document.write( "Question 156947: 2x2(p + q3) - (p + q3) factor completely \n" ); document.write( "
Algebra.Com's Answer #115711 by jim_thompson5910(35256)\"\" \"About 
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\"2x%5E2%28p+%2B+q%5E3%29+-+%28p+%2B+q%5E3%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2z+-+z\" Let \"z=p+%2B+q%5E3\" and replace \"p+%2B+q%5E3\" with \"z\"\r
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\n" ); document.write( "\n" ); document.write( "\"z%282x%5E2+-+1%29\" Factor out the GCF \"z\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28p+%2B+q%5E3%29%282x%5E2+-+1%29\" Plug in \"z=p+%2B+q%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "So \"2x%5E2%28p+%2B+q%5E3%29+-+%28p+%2B+q%5E3%29\" factors to \"%28p+%2B+q%5E3%29%282x%5E2+-+1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Note: you can avoid using an extra variable, but it might help simplify things.
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