Question

How do you factor `p^(3n) - q^(3n)`?

Answer 1

#a^3 - b^3 = (a - b) (a^2 + a b + b^2)

The above equation can be rewritten as :

`(p^n)^3 - (q^n)^3`
`= (p^n - q^n)(p^(2n) + (pq)^n + p^(2n))`

Hence FACTORED