Algebra.Com's Answer #755477 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( " I have much more simple solution.\r
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document.write( "First, notice that 255 = 256 - 1 =  , so  = 255 + 1.\r\n" );
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document.write( "Second, notice that  =  =  .\r\n" );
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document.write( "Therefore, =  .\r\n" );
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document.write( "Apply the Newton's binomial formula to present  as the sum of degrees of the number 255 with integer coefficients.\r\n" );
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document.write( "All the terms of this binomial expansion will have the number 255 in positive degrees, except the last term, which is 1.\r\n" );
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document.write( "So, all the terms of this binomial expansion are divisible by 255, except the last term 1.\r\n" );
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document.write( "It means that when you multiply this expansion by 64, all the terms of this new expansion are divisible by 255, \r\n" );
document.write( "except the last term, which is 64.\r\n" );
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document.write( "It proves that the reminder of is 64, when it is divided by 255.\r\n" );
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document.write( "Solved.\r
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document.write( "By the way, it is a STANDARD method for solving such problems.\r
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document.write( "It works smoothly in many other similar problems.\r
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