How do you factor 64m^3-5p?

1 Answer
Oct 7, 2017

Have a look.

Explanation:

Given expression, 64m^3-5p.

So, 64m^3-5p
=(4m)^3-(root(3)(5p))^3
=(4m-root(3)(5p))((4m)^2+4m.root(3)(5p)+(root(3)(5p))^2)
=(4m-root(3)(5p))(16m^2+4mroot(3)(5p)+(5p)^(2/3)).

This is done by using the formulararr
(a-b)^3=(a-b)(a^2+ab+b^2).

Hope it Helps :)