Binomische Formel: $$(x+y)^n=\sum_{i=0}^{n} \binom{n}{i} x^iy^{n-i}$$
$$z=(\sqrt{3}+i)^9 \\ =\binom{9}{0}i^9+\binom{9}{1}\sqrt{3}i^8+\binom{9}{2}\sqrt{3}^2i^7+\binom{9}{3}\sqrt{3}^3i^6+\binom{9}{4}\sqrt{3}^4i^5+\binom{9}{5}\sqrt{3}^5i^4+\binom{9}{6}\sqrt{3}^6i^3+\binom{9}{7}\sqrt{3}^7i^2+\binom{9}{8}\sqrt{3}^8i+\binom{9}{9}\sqrt{3}^9$$
