Answer
$b^9-b^6-b^3.$
Work Step by Step
We divide each term of the polynomial by the monomial as follows
$$
\frac{b^{12}- b^9 - b^6}{b^3 }
= \frac{b^{12} }{b^3 }+ \frac{ - b^9 }{b^3 }+ \frac{ - b^6}{b^3 }\\
=b^9-b^6-b^3.
$$
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