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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 \(\frac{a^3}{b^3} + \frac{b^3}{c^3} + \frac{c^3}{a^3}\).

 Sep 13, 2019
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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

 

laugh

 Sep 13, 2019

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