document.write( "Question 1208797: factorise x^4 + 4^2023 \n" ); document.write( "

Algebra.Com's Answer #847251 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "factorise x^4 + 4^2023.
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document.write( "Let' start writing\r\n" );
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document.write( "    =  =  =  = .\r\n" );
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document.write( "It has the form ,  where  a = .\r\n" );
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document.write( "Now we will factor  the binomial    by some tricky way\r\n" );
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document.write( "       =  =  -  = \r\n" );
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document.write( "    = factorize as the difference of squares =  = .\r\n" );
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document.write( "Now substitute  a =   into this formula.  Notice that   =  =  =  = .  \r\n" );
document.write( "You will get\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "or, which is the same,\r\n" );
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document.write( "     = .\r\n" );
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document.write( "It is the desired factorization.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "In whole, it looks like a miracle.\r
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\n" ); document.write( "\n" ); document.write( "I would say more : not only it looks like a miracle, it $\"highlight%28highlight%28IS%29%29\"$ a miracle.\r
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