document.write( "Question 179583: Factor 27-64a^3 \n" ); document.write( "
Algebra.Com's Answer #134535 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"27-64a%5E3\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%283%29%5E3-%284a%29%5E3\" Rewrite \"27\" as \"%283%29%5E3\". Rewrite \"64a%5E3\" as \"%284a%29%5E3\".\r
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\n" ); document.write( "\n" ); document.write( "\"%283-4a%29%28%283%29%5E2%2B%283%29%284a%29%2B%284a%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( "\"%283-4a%29%289%2B12a%2B16a%5E2%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So \"27-64a%5E3\" factors to \"%283-4a%29%289%2B12a%2B16a%5E2%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"27-64a%5E3=%283-4a%29%289%2B12a%2B16a%5E2%29\"
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