SOLUTION: Please help with the following: Factor: 64𝑚^4 − 27𝑚𝑛^3 Thank you!

Algebra.Com
Question 1094764: Please help with the following:
Factor: 64𝑚^4 − 27𝑚𝑛^3
Thank you!

Answer by ikleyn(52795)   (Show Source): You can put this solution on YOUR website!
.
=  =  = ,

and you may simplify it further, if you want.


The basic identity is   = ,


which you must memorize.


1. The cube of the sum formula is                 .
      For details and examples of applications of this formula see the lesson The cube of the sum formula in this site.


2. The cube of the difference formula is     .
      For details and examples of applications of this formula see the lesson The cube of the difference formula in this site.


3. The sum of cubes formula is                       .
      For details and examples of applications of this formula see the lesson The sum of cubes formula in this site.

4. The difference of cubes formula is           .
      For details and examples of applications of this formula see the lesson The difference of cubes formula in this site.



RELATED QUESTIONS

if we define 𝑚 ➡️ 𝑛 to mean 3𝑛 - 7𝑚, then... (answered by josgarithmetic)
1.1 In a survey of 400 households regarding the ownership of Desktop (D) and laptop... (answered by solver91311)
Please help with the following: Factor: 36𝑎^2 − 𝑏^2/4... (answered by ikleyn)
Assume that 𝑙, ⊥ 𝑝, 𝑙, ⊥ 𝑞, 𝑚∠6 (answered by Alan3354)
Evaluate: 𝑛^5 − 4𝑝^0 + (𝑝 − 𝑛)^2 −... (answered by Boreal)
If 𝑝 = 7𝑐𝑚 and 𝑞 = 5𝑐𝑚, both to the... (answered by math_helper)
Please help with the following: Factor: 21𝑥^2 + 11𝑥𝑦 −... (answered by josgarithmetic)
Please help with the following: Factor: 81𝑥^3𝑧^7𝑦^5 −... (answered by josgarithmetic)
It is necessary to construct a box whose volume is equal to 640𝑐𝑚3 with (answered by solver91311)