SOLUTION: Factorise: 64x^3-(2y-1)^3

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Question 1094591: Factorise:
64x^3-(2y-1)^3
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Use the standard shortcut

 = ,


with a = 4x,  b = (2y-1).


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.



Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The factorization of

 is

.

Since 



can be written as

,

we can substitute A=(4x) and B=(2y-1) into





That simplifies to:



Edwin
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