document.write( "Question 62191: Please help me to factor x^6-(1/729) \n" ); document.write( "

Algebra.Com's Answer #42941 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor:
\n" ); document.write( " $\"x%5E6-%281%2F729%29\"$ Do you recognise this as the difference of two cubes?
\n" ); document.write( " $\"%28x%5E2%29%5E3+-+%281%2F9%29%5E3\"$
\n" ); document.write( "The difference of two cubes can be factored:
\n" ); document.write( " $\"A%5E3+-+B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29\"$
\n" ); document.write( "In this problem, A = x^2 and B = 1/9\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E6-%281%2F729%29+=+%28x%5E2-%281%2F9%29%29%28x%5E4%2Bx%5E2%2F9%2B1%2F81%29\"$ The first parentheses on the right can be factored.
\n" ); document.write( " $\"x%5E6-%281%2F729%29+=+%28x%2B1%2F3%29%28x-1%2F3%29%28x%5E4%2Bx%5E2%2F9%2B1%2F81%29\"$ \n" ); document.write( "

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