Answer :
[tex] \frac{30w^3-6w}{6w} = \frac{6w(5w^2-1)}{6w} =5w^2-1[/tex]
first simplify the numerator by dividing by the greatest common factor
3w^3-6w= 6w(5w^2-1)
_________________________
6w
the 6w can be divided in the numerator and denominator and cancel out=
5w^2-1
hope this helps