goals

The number of common roots of the 15th and of 25th roots of unity are

The number of common roots of the 15th and of 25th roots of unity are

If $$\omega$$ is the cube root of unity then $$(1 - \omega + \omega^2)^6 = $$

If $$\omega$$ is the cube root of unity then $$(1 - \omega + \omega^2)^6 = $$

The closest distance of the origin from a curve given as $$a\bar z + \bar az + a\bar a = 0$$ ($$a$$ is a complex number) is.