If z₁, z₂, z₃ are three distinct complex numbers and a, b, c are three positive real numbers such that $\frac{\mathrm{a}}{\left|{\mathrm{z}}_2-{\mathrm{z}}_3\right|}=\frac{\mathrm{b}}{\left|{\mathrm{z}}_3-{\mathrm{z}}_1\right|}=\frac{\mathrm{c}}{\left|{\mathrm{z}}_1-{\mathrm{z}}_2\right|}\text{ then }\frac{{\mathrm{a}}^2}{{\mathrm{z}}_2-{\mathrm{z}}_3}+\frac{{\mathrm{b}}^2}{{\mathrm{z}}_3-{\mathrm{z}}_1}+\frac{{\mathrm{c}}^2}{{\mathrm{z}}_1-{\mathrm{z}}_2}$ is