Divide the given polynomial by the given monomial.
$(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}$

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Solution

$(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}$
$= \frac{p^{3} q^{6}}{p^{3} q^{3}} - \frac{p^{6} q^{3}}{p^{3} q^{3}}$
$= q^{6 - 3} - p^{6 - 3}$ [ $∵ \frac{a^{m}}{a^{n}} = a^{m - n}$ ]
$= q^{3} - p^{3}$

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