Question

Multiply ((x^3+1)/(x^3-x^2+x)) x ((6x) / (-54x-54))

Answer 1

(x+1)(x^2-x+1) 6x
------------- x ----------
x(x^2-x+1) -54(x+1)

"x+1", "x" and "x^2-x+1" cancels so:

6/-54=-1/9

Answer 2

whered x+1 come from ?

Answer 3

the 1 on top came from when i factored the x^3+1
formula for factoring addition of cubes:
http://www.purplemath.com/modules/specfact2.htm

Answer 4

a^3 here is x^3 and b^3 is 1^3

Answer 5

the bottom x+1 came from factoring (-54x-54)
this equals -54(x+1)