document.write( "Question 967010: What is the factorization of 729x^15 + 1000? I really have no clue where to even start on this one... \n" ); document.write( "

Algebra.Com's Answer #591000 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution,
\n" ); document.write( " $\"u=9x%5E5\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"u%5E3=729x%5E15\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"u%5E3%2B1000\"$ is now a sum of two cubes.
\n" ); document.write( " $\"u%5E3%2B1000=%28u%2B10%29%28u%5E2-10u%2B100%29\"$
\n" ); document.write( " $\"729x%5E15%2B1000=%289x%5E5%2B10%29%28%289x%5E5%29%5E2-10%289x%5E5%29%2B100%29\"$
\n" ); document.write( " $\"729x%5E15%2B1000=%289x%5E5%2B10%29%2881x%5E10-90x%5E5%2B100%29\"$ \n" ); document.write( "

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