document.write( "Question 184057: Hello.
\n" ); document.write( "I'm having some difficulty with the following problem.\r
\n" ); document.write( "\n" ); document.write( "Factor each expression, if possible\r
\n" ); document.write( "\n" ); document.write( "8x^6+125y^3\r
\n" ); document.write( "\n" ); document.write( "thanks!
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Algebra.Com's Answer #138076 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"8x%5E6%2B125y%5E3\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%5E2%29%5E3%2B%285y%29%5E3\" Rewrite \"8x%5E6\" as \"%282x%5E2%29%5E3\". Rewrite \"125y%5E3\" as \"%285y%29%5E3\".\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%5E2%2B5y%29%28%282x%5E2%29%5E2-%282x%5E2%29%285y%29%2B%285y%29%5E2%29\" Now factor by using the sum of cubes formula. Remember the sum of cubes formula is \"A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%5E2%2B5y%29%284x%5E4-10x%5E2y%2B25y%5E2%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So \"8x%5E6%2B125y%5E3\" factors to \"%282x%5E2%2B5y%29%284x%5E4-10x%5E2y%2B25y%5E2%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"8x%5E6%2B125y%5E3=%282x%5E2%2B5y%29%284x%5E4-10x%5E2y%2B25y%5E2%29\"
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