document.write( "Question 334833: I don't understand why this is the answer to this problem.\r
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\n" ); document.write( " (t^2 + 1) (t + 1) (t - 1)
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Algebra.Com's Answer #239912 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Learn the rule for factoring the difference of two squares\r\n" );
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document.write( "Rule:  \"red%28A%29%5E2-green%28B%29%5E2=%28red%28A%29%2Bgreen%28B%29%29%28red%28A%29-green%28B%29%29\"\r\n" );
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document.write( "\"t%5E4+-+1\"\r\n" );
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document.write( "Write that as \r\n" );
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document.write( "\"%28red%28t%5E2%29%29%5E2-green%281%29%5E2\"\r\n" );
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document.write( "Apply the rule above:\r\n" );
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document.write( "\"%28red%28t%5E2%29%2Bgreen%281%29%29%28red%28t%5E2%29-green%281%29%29\"\r\n" );
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document.write( "Write what's in the second parentheses this way:\r\n" );
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document.write( "\"%28t%5E2%2B1%29%28red%28t%29%5E2-green%281%29%5E2%29\"\r\n" );
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document.write( "Apply the rule to the second parentheses:\r\n" );
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document.write( "\"%28t%5E2%2B1%29%28red%28t%29%2Bgreen%281%29%29%28red%28t%29-green%281%29%29\"\r\n" );
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document.write( "(Notice that the rule does not work for the sum of two squares,\r\n" );
document.write( "so we have to leave the first parentheses just as it is because\r\n" );
document.write( "of the + between the terms.)\r\n" );
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document.write( "Edwin

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