Help with verifying identities in pre-calc!

I don't usually ask for help on math but this question has me stumped!

(tan^3 x - 1) / (tan x - 1) = tan^2 x + tan x + 1

HELP :(

It turned out to be very simple if you just know one trick. Here is very useful formula:
a^3 -b^3= (a-b)(a^2+ab+b^2)
Now, simplify the first part,which is (tan^3 x - 1) / (tan x - 1), by using this formula..
((tanx-1)(tan^2x+tanx+1))/(tanx-1)=tan^2 x + tan x + 1
Now (tanx-1) cancels out, and you get that
tan^2x+tanx+1=tan^2 x + tan x + 1