Verified Answer :

\(\frac{30w^3-6w}{6w} = \frac{6w(5w^2-1)}{6w} =5w^2-1\)

first simplify the numerator by dividing by the greatest common factor

3w^3-6w= 6w(5w^2-1)
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6w

the 6w can be divided in the numerator and denominator and cancel out=

5w^2-1

hope this helps