Remember the rules of the powers :
So here :
In the following factoring question
(a - b) (a^2 + ab + b^2) is used
However, I am stuck right off the bat. The cube root of is 4x, but does one do the cubed root of . Its obviously a difference of perfect cubes because x^3 and y^6 are both multiples of 3. The book tells me the cubed root of is , but I do not know specifically how the turns into (obviously the cube root of 27 is 3).
Could some one please clarify and show me?
For a better understanding lets take this same term but out of the cubed root application.
If I was to factor
by itself, how would I know the correct order to factor it? I could do instead of the correct order
Or is it just as simple as writing out the multiples in ascending order to get the correct answer?