document.write( "Question 249567: factor 125x3 + 64y3 \n" ); document.write( "
Algebra.Com's Answer #181746 by chosenpoint(26)\"\" \"About 
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Equations/249567 (2009-12-14 02:59:25): factor 125x3 + 64y3
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\n" ); document.write( "\n" ); document.write( "You can use the following formula to factor the sum of 2 cubes:
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\n" ); document.write( "\n" ); document.write( "(a^3+b^3)=(a+b)*(a^2–a*b+b^2)
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\n" ); document.write( "\n" ); document.write( "In this specific case, a=5x and b=4y
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\n" ); document.write( "\n" ); document.write( "Then we can easily substitute these into our formula
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\n" ); document.write( "\n" ); document.write( "\"%285x%2B4y%29%2825x%5E2-5x%2A4y%2B16y%5E2%29\"
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\n" ); document.write( "\n" ); document.write( "\"%285x%2B4y%29%2825x%5E2-20x%2Ay%2B16y%5E2%29\" simplify and final answer
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\n" ); document.write( "\n" ); document.write( "As a note, the difference of two cubes can be found using the following formula:
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\n" ); document.write( "\n" ); document.write( "(a^3–b^3)=(a–b)*(a^2+ab+b^2)
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\n" ); document.write( "\n" ); document.write( "Answer 181746 by chosenpoint(20) on 2009-12-14 04:59:57
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