document.write( "Question 2135: What is the complete factorization of 8xcubed - 27? \n" ); document.write( "

Algebra.Com's Answer #886 by matthew_sessoms(39) $\"\"$ $\"About$

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$\"8x%5E3+-+27\"$ equals $\"%282x%29%5E3+-+3%5E3\"$
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\n" ); document.write( "Remember the difference of 2 cubes? It states $\"a%5E3+-+b%5E3\"$ = $\"%28a+-+b%29%28a%5E2+%2B+ab+%2B+b%5E2%29\"$
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\n" ); document.write( "In this equation the a=2x and the b=3. So we have:
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\n" ); document.write( " $\"%282x+-+3%29%28%282x%29%5E2+%2B+%282%29%283%29+%2B+3%5E2%29\"$
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\n" ); document.write( "Which simplifies to be...
\n" ); document.write( " $\"%282x+-+3%29%284x%5E2+%2B+6x+%2B+9%29\"$ \n" ); document.write( "

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