Factorize: $$ \frac{p^{3}}{q^{3}}=\frac{q^{3}}{p^{3}} $$

Question

Vaughan Pierce · Accepted Answer

The equation $$ \frac{p^{3}}{q^{3}} = \frac{q^{3}}{p^{3}} $$ can be factored as: $$ (p - q)(p + q)(p^{2} + pq + q^{2})(p^{2} - pq + q^{2}) = 0 $$ This means the equation holds true when: 1. $$ p = q $$, 2. $$ p = -q $$, 3. $$ p^{2} + pq + q^{2} = 0 $$, 4. $$ p^{2} - pq + q^{2} = 0 $$.

Factorize: \( \frac{p^{3}}{q^{3}}=\frac{q^{3}}{p^{3}} \)

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Factorize: \( \frac{p^{3}}{q^{3}}=\frac{q^{3}}{p^{3}} \)

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