Question

factorise p^6 - 512 q^6

Answer 1

here is solution

==> p^6 -512q^6

==>{( p)^3}^2 - {(8q)^3}^2

open with a^2 - b^2 identity

==> { p^3 +(8q)^3} { p^3 -(8q)^3}

==> now open

(a^3 +b^3) & (a^3 - b^3)

==> { (p+8q) ( p^2 +64q^2 - 8pq) } × {( p-8q)( p^2 +64q^2 +8pq)}

Ans ...

Answer 2

The answer is explained below.


Hope this helps!