document.write( "Question 175719: 8X^3y^6+27 \n" ); document.write( "

Algebra.Com's Answer #130908 by EMStelley(208) $\"\"$ $\"About$

You can put this solution on YOUR website!
I believe what you are asking is to factor
\n" ); document.write( " $\"8x%5E3y%5E6+%2B+27\"$
\n" ); document.write( "Notice that each term can be written using cubes.
\n" ); document.write( " $\"8x%5E3y%5E6+%2B+27+=+%282%5E3%29%28x%5E3%29%28y%5E2%29%5E3+%2B+3%5E3\"$
\n" ); document.write( "So we have that
\n" ); document.write( " $\"8x%5E3y%5E6+%2B+27+=+%282xy%5E2%29%5E3+%2B+3%5E3\"$
\n" ); document.write( "Now, the sum of cubes can be factored as following:
\n" ); document.write( " $\"a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29\"$
\n" ); document.write( "So, here $\"a=2xy%5E2\"$ and b=3
\n" ); document.write( "

\n" ); document.write( "Simplified, this is
\n" ); document.write( " $\"%282xy%5E2+%2B+3%29%284x%5E2y%5E4+-+6xy%5E2+%2B+9%29\"$ \r
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