document.write( "Question 150911: x3y6-64 \n" ); document.write( "

Algebra.Com's Answer #110855 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Do you want to factor?\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E3y%5E6-64\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28xy%5E2%29%5E3-%284%29%5E3\"$ Rewrite $\"x%5E3y%5E6\"$ as $\"%28xy%5E2%29%5E3\"$ . Rewrite $\"64\"$ as $\"%284%29%5E3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28xy%5E2-4%29%28%28xy%5E2%29%5E2%2B%28xy%5E2%29%284%29%2B%284%29%5E2%29\"$ Now factor by using the difference of cubes formula. Remember the difference of cubes formula is $\"A%5E3-B%5E3=%28A-B%29%28A%5E2%2BAB%2BB%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28xy%5E2-4%29%28x%5E2y%5E4%2B4xy%5E2%2B16%29\"$ Multiply\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So $\"x%5E3y%5E6-64\"$ factors to $\"%28xy%5E2-4%29%28x%5E2y%5E4%2B4xy%5E2%2B16%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"x%5E3y%5E6-64=%28xy%5E2-4%29%28x%5E2y%5E4%2B4xy%5E2%2B16%29\"$ \n" ); document.write( "

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