document.write( "Question 77504: For this problem I am asked to factor the polynomial. x^27+125= \n" ); document.write( "

Algebra.Com's Answer #55587 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor:
\n" ); document.write( " $\"x%5E27+%2B+125\"$ It looks quite formidable, doesn't it? But can you see this as the sum of two cubes?
\n" ); document.write( " $\"%28x%5E9%29%5E3+%2B5%5E3\"$
\n" ); document.write( "The sum of two cubes can be factored thus:
\n" ); document.write( " $\"A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"$ Applying this to your problem, where: $\"A+=+x%5E9\"$ and $\"B+=+5\"$
\n" ); document.write( " $\"x%5E27%2B125+=+%28x%5E9%2B5%29%28x%5E18-5x%5E9%2B25%29\"$ \n" ); document.write( "

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