Question

How do you factor `128^3 - 1024`?

Answer 1

`128^3-1024 = color(green)(2^10(2^11-1))`

Explanation:

`128 = 2^7`
`rarr 128^3 = 2^21`

`1024 = 2^10`

Therefore:
`128^3-1024`

`color(white)("XXX")=2^21-2^10`

`color(white)("XXX")=2^10(2^11-1)`