document.write( "Question 979043: How do I factorise a^6+b^6 \n" ); document.write( "

Algebra.Com's Answer #600467 by KMST(5328) $\"\"$ $\"About$

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One of the \"special products\" you were taught about,
\n" ); document.write( "along with $\"A%5E2-B%5E2=%28A-B%29%28A%2BB%29\"$ , is
\n" ); document.write( " $\"A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"$ ,
\n" ); document.write( "and that is the same as $\"a%5E6%2Bb%5E6=%28a%5E2%29%5E2%2B%28b%5E2%29%5E2\"$ ,
\n" ); document.write( "with $\"system%28A=a%5E2%2CB=b%5E2%29\"$ .
\n" ); document.write( "So, $\"highlight%28a%5E6%2Bb%5E6=%28a%5E2%2Bb%5E2%29%28a%5E4-a%5E2b%5E2%2Bb%5E4%29%29\"$ .
\n" ); document.write( "That is the \"full factorization\" ,
\n" ); document.write( "because $\"a%5E2%2Bb%5E2\"$ cannot be factorized,
\n" ); document.write( "and neither can $\"a%5E4-a%5E2b%5E2%2Bb%5E4\"$ .
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