P^3q^6 p^6q^3=p^3q^3(q^3 p^3) (p^3q^6 p^6q^3)÷ p^3q^3 =p^3q^3(q^3 p^3)/p^3q^3 =q^3 p^3 ...

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Simplification of Rational Algebraic Expression

𝑝3 𝑞6−𝑝6 �...

Question

$(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3} =$ ______

q^{3} - p^{3}

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q^{3} + p^{3}

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p^{3} - q^{3}

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p^{3} + q^{3}

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Solution

The correct option is A $q^{3} - p^{3}$
$p^{3} q^{6} - p^{6} q^{3} = p^{3} q^{3} (q^{3} - p^{3})$

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

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