Divide 64x^3 -27y^3 by 4x-3y
A. 16x^2 -9y^2
B. 16x^2 +9y^2
C. 16x^2 -48x^2y +12xy -36xy^2 +9y^2
D. (4x-3y)^2
E. none of these

Question

Divide 64x^3 -27y^3 by 4x-3y
A. 16x^2 -9y^2
B. 16x^2 +9y^2
C. 16x^2 -48x^2y +12xy -36xy^2 +9y^2
D. (4x-3y)^2
E. none of these

anonymous · Answer

@DanJS

danjs · Answer

hey

anonymous · Answer

hello :)

anonymous · Answer

do you think you could help me with this one?

anonymous · Answer

i'm leaning towards choice C?

danjs · Answer

hmm, i put it in my calculator and got

$$16x^2 + 12xy +9y^2$$

danjs · Answer

none of those are that, 

the last one D. expands out to 
16x^2 + 24xy + 9y^2

anonymous · Answer

so D is the closest to being the correct choice? would a scientific calculator be the right calculator to use for these types of problems?

danjs · Answer

i have a ti-89, it has Computer algebra system in it. I think they want you to use long division, or factor the numerator first, then cancel the term (4x-3y).
None of those are the answer

danjs · Answer

The numerator factors to

$$\frac{ (4x-3y)*(16x^2 + 12xy + 9y^2)  }{ (4x-3y) }$$

danjs · Answer

Then the 4x-3y cancels , you are left with the 16x^2+12xy+9y^2