SOLUTION: 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???
i have a test in class
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-> SOLUTION: 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???
i have a test in class
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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???
i have a test in class today i would like to know if i am on the right track Answer by nyc_function(2741) (Show Source):
You can put this solution on YOUR website! 64m^3+125n^3
We have the sum of cubes.
The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 – ab + b^2)
64 can be written as 4^3 and 125 can be written as 5^3.
In the formula above, let a = 4m and b = 5n.
4m^3 + 5n^3 = (4m + 5n)(4m^2 – 4*5mn + 5m^2)
4m^3 + 5n^3 = (4m + 5n)(16m^2 – 20mn + 25m^2)
You did great but forgot to include the other factor, which is (4m + 5n).
You also forgot that the middle term is positive not negative for the sum of cubes.
Otherwise, good job!
Final answer:
64m^3 + 125n^3 = (4m + 5n)(16m^2 – 20mn + 25m^2)
