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

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)

RELATED QUESTIONS
It took Anne 8 minutes to walk around a square paddock. If she is walking at an average... (answered by josmiceli)

Factor Completely: x^3 - 2x^2 - 4x - 8 My answer: 2(-2x^3 - x^2 - 2x - 2^2) I am... (answered by rmromero)

Please help me solve these equations.I am not sure if my answers are correct. I have to... (answered by Alan3354)

I attempted this problem but I am not sure of the answer. Can someone check to see if my... (answered by Edwin McCravy)

Hello, I am stuck on a problem for homework and need some help. I worked it out but am... (answered by Alan3354)

Hello, I just want to doublecheck my answers if someone can help me. Solve the... (answered by jim_thompson5910,Alan3354,edjones)

I have a problem where I have to convert 25/10 and 251/100 to decimals. For 25/10 my... (answered by psbhowmick)

I have to do the following problem and I'm not sure if I have it correct. Is -4 a... (answered by checkley71)

Rationalize the denominator: I worked this problem out however I am not sure if I did it... (answered by venugopalramana)