1/64m^3+n^3
Factor the following expression
please please help (it my last set of prob. on my hw)

Question

1/64m^3+n^3
Factor the following expression 
please please help (it my last set of prob. on my hw)

anonymous · Answer

you have the sum of two cubes   1/4 m   and n are the two cubes.  Do you know the formula for sum of cubes?

anonymous · Answer

no

anonymous · Answer

$$a^3+b^3=(a+b)(a^2-ab+b^2)$$
and in this case a=1/4m  and b=n

anonymous · Answer

1/4m or 1/64?? i am not seeing where u get 1/4??

anonymous · Answer

the cube root of 1/64 is 1/4   $$(1/4)^3 = 1/64$$

anonymous · Answer

oh ok sorry i get it

anonymous · Answer

if you type your answer, I will let you know if you are correct!

anonymous · Answer

1/4^3+n^2=(1/4^3+n)(1/4^2+1/4n+n^2)

anonymous · Answer

what happened to m :(
(1/4 m+n)(1/16 m^2-1/4mn+n^2)
a=1/4 m  b=n
a^2 = 1/16m^2
ab = 1/4 mn
b^2 = n^2

anonymous · Answer

thanks. I realize my mistake when i see them so that is good. I am in a struggle with this math class this sem. I keep frogeting simple things.Thanks for your help.

anonymous · Answer

practice and you will get better!!!!  Smart choice choosing to come here!