Reverse Fractions

Algebra Level 3

Let xy+yz+zx=2 and yx+zy+xz=0.\dfrac{x}{y}+\dfrac{y}{z}+\dfrac{z}{x}=-2 \quad \text{ and } \quad \dfrac{y}{x}+\dfrac{z}{y}+\dfrac{x}{z}=0.

If M=x3y3+y3z3+z3x3,M = \dfrac{x^{3}}{y^{3}}+\dfrac{y^{3}}{z^{3}}+\dfrac{z^{3}}{x^{3}}, then find the value of M.M.

×

Problem Loading...

Note Loading...

Set Loading...