Question
Divide the given polynomial by the given monomial: $\left(p^3 q^6-p^6 q^3\right) \div p^3 q^3$

Answer

$\left(p^3 q^6-p^6 q^3\right) \div p^3 q^3$
$ = \frac{{{p^3}{q^6} - {p^6}{q^3}}}{{{p^3}{q^3}}}$
$ = \frac{{{p^3}{q^3}({q^3} - {p^3})}}{{{p^3}{q^3}}}$
$= q^3– p^3$

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