document.write( "Question 625677: x^3-64 \n" ); document.write( "
Algebra.Com's Answer #393691 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"x%5E3-64\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%29%5E3-%284%29%5E3\" Rewrite \"x%5E3\" as \"%28x%29%5E3\". Rewrite \"64\" as \"%284%29%5E3\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-4%29%28%28x%29%5E2%2B%28x%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
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-4%29%28x%5E2%2B4x%2B16%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------------------\r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So \"x%5E3-64\" factors to \"%28x-4%29%28x%5E2%2B4x%2B16%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"x%5E3-64=%28x-4%29%28x%5E2%2B4x%2B16%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------------------------------------------------
\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Jim
\n" ); document.write( "--------------------------------------------------------------------------------------------------------------
\n" ); document.write( "
\n" );