factoring

Question

factoring

anonymous · Answer

Its the difference of cubes (since 216 is 6^3 and 1 is 1^3), so use the difference of cubes formula.

anonymous · Answer

216x^3 - 1      =      (6x)^3 - 1^3

Now, let 6x = a     and       let 1 = b

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

So, just substitute for the a and the b.  Can you do this part?

anonymous · Answer

@morganalana17 ?  Can you do this last part?

anonymous · Answer

Once you get the function factored as indicated above, the second factor (which is a quadratic in x) cannot befactored any further for real solutions so you will have only one real soultion (one place where the x-axis is crossed).  The function will of course have 2 more solutions but those will be imaginary solutions.  The graph looks like:

anonymous · Answer

(6x - 1)(36x^2 + 6x + 1)