document.write( "Question 236881: i worked out a problem not sure if correct i have to factor competly please check my problem. 64m^3+125n^3 my answer was 16m^2+20mn+25n^2 is this correct???
\n" ); document.write( "i have a test in class today i would like to know if i am on the right track \n" ); document.write( "

Algebra.Com's Answer #174253 by nyc_function(2741) $\"\"$ $\"About$

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64m^3+125n^3\r
\n" ); document.write( "\n" ); document.write( "We have the sum of cubes.\r
\n" ); document.write( "\n" ); document.write( "The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 – ab + b^2)\r
\n" ); document.write( "\n" ); document.write( "64 can be written as 4^3 and 125 can be written as 5^3.\r
\n" ); document.write( "\n" ); document.write( "In the formula above, let a = 4m and b = 5n.\r
\n" ); document.write( "\n" ); document.write( "4m^3 + 5n^3 = (4m + 5n)(4m^2 – 4*5mn + 5m^2)\r
\n" ); document.write( "\n" ); document.write( "4m^3 + 5n^3 = (4m + 5n)(16m^2 – 20mn + 25m^2)\r
\n" ); document.write( "\n" ); document.write( "You did great but forgot to include the other factor, which is (4m + 5n).\r
\n" ); document.write( "\n" ); document.write( "You also forgot that the middle term is positive not negative for the sum of cubes.\r
\n" ); document.write( "\n" ); document.write( "Otherwise, good job!\r
\n" ); document.write( "\n" ); document.write( "Final answer:\r
\n" ); document.write( "\n" ); document.write( "64m^3 + 125n^3 = (4m + 5n)(16m^2 – 20mn + 25m^2)\r
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