document.write( "Question 150646: How do you completly factor p^4 - 1, what is the answer? \n" ); document.write( "
Algebra.Com's Answer #110582 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"p%5E4+-+1\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28p%5E2%29%5E2+-+%281%29%5E2\" Rewrite \"p%5E4\" as \"%28p%5E2%29%5E2\". Rewrite \"1\" as \"%281%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28p%5E2-1%29%28p%5E2%2B1%29\" Factor by use of the difference of squares.\r
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\n" ); document.write( "\n" ); document.write( "\"%28p-1%29%28p%2B1%29%28p%5E2%2B1%29\" Factor \"p%5E2-1\" by use of the difference of squares.\r
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\n" ); document.write( "\n" ); document.write( "So \"p%5E4+-+1\" completely factors to \"%28p-1%29%28p%2B1%29%28p%5E2%2B1%29\"
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