TeX Quellcode:
\begin{array}{ccl} (4p^3-6q^5)^3 &=& \left(4p^3-6q^5 \right)^2 \left(4p^3-6q^5 \right) \cr\cr &=& \lbrack \left(4p^3 \right)^2 + 2 \cdot 4p^3 \left(-6q^5 \right)+\left(-6q^5 \right)^2 \rbrack \left(4p^3-6q^5 \right) \cr\cr &=& \lbrack 16p^6-48p^3q^5+36q^{10}\rbrack \left(4p^3-6q^5 \right) \cr\cr &=& 16p^6 \cdot 4p^3 + 16p^6 \cdot \left(-6q^5 \right) - 48 p^3q^5 \cdot 4p^3 - 48 p^3q^5 \cdot \left(-6q^5 \right) + 36 q^{10} \cdot 4p^3 + 36 q^{10} \cdot \left(-6q^5 \right) \cr\cr &=& 64p^9-96p^6q^5-192p^6q^5+288p^3q^{10}+144p^3q^{10}-216q^{15} \cr\cr &=& 64p^9-288p^6q^5+432p^3q^{10}-216q^{15} \end{array}