Let \(a,b,c\) be nonzero real numbers such that \(\frac{a}{b} + \frac{b}{c} + \frac{c}{a} = 7 \quad \text{and} \quad \frac{b}{a} + \frac{c}{b} + \frac{a}{c} = 9\).
Find \(\frac{a^3}{b^3} + \frac{b^3}{c^3} + \frac{c^3}{a^3}\).
+26367 Let a,b and c be nonzero real numbers such that \(\dfrac{a}{b} + \dfrac{b}{c} + \dfrac{c}{a} = 7 \quad \text{ and } \quad \dfrac{b}{a} + \dfrac{c}{b} + \dfrac{a}{c} = 9\) .
Find \(\dfrac{a^3}{b^3} + \dfrac{b^3}{c^3} + \dfrac{c^3}{a^3}\).
The answer see: https://web2.0calc.com/questions/help-plz_4827#r1
