document.write( "Question 1094764: Please help with the following:
\n" ); document.write( " Factor: 64𝑚^4 − 27𝑚𝑛^3 \r
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Algebra.Com's Answer #709343 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "= \"m%2A%2864m%5E3+-+27n%5E3%29\" = \"m%2A%28%284m%29%5E3-%283n%29%5E3%29\" = \"m%2A%284m+-+3n%29%2A%28%284m%29%5E2+%2B+%284m%29%2A%283n%29+%2B+%283n%29%5E2%29\",\r\n" );
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document.write( "and you may simplify it further, if you want.\r\n" );
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document.write( "The basic identity is  \"a%5E3+-+b%5E3%29\" = \"%28a-b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29\",\r\n" );
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document.write( "which you must memorize.\r\n" );
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\n" ); document.write( "\n" ); document.write( "1. The cube of the sum formula is                 \"%28a+%2B+b%29%5E3+=+a%5E3+%2B+3a%5E2%2Ab+%2B+3a%2Ab%5E2+%2B+b%5E3\".\r
\n" ); document.write( "\n" ); document.write( "      For details and examples of applications of this formula see the lesson The cube of the sum formula in this site.\r
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\n" ); document.write( "\n" ); document.write( "2. The cube of the difference formula is     \"%28a+-+b%29%5E3+=+a%5E3+-+3a%5E2%2Ab+%2B+3a%2Ab%5E2+-+b%5E3\".\r
\n" ); document.write( "\n" ); document.write( "      For details and examples of applications of this formula see the lesson The cube of the difference formula in this site.\r
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\n" ); document.write( "\n" ); document.write( "3. The sum of cubes formula is                       \"a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%2A%28a%5E2+-+ab+%2B+b%5E2%29\".\r
\n" ); document.write( "\n" ); document.write( "      For details and examples of applications of this formula see the lesson The sum of cubes formula in this site.\r
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\n" ); document.write( "\n" ); document.write( "4. The difference of cubes formula is           \"a%5E3+-+b%5E3+=+%28a+-+b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29\".\r
\n" ); document.write( "\n" ); document.write( "      For details and examples of applications of this formula see the lesson The difference of cubes formula in this site.\r
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