Solucionar ((x^4)-(1/x^3))^13text{thecoefficientof}x^30

$$( ( x ^ { 4 } ) - ( 1 / x ^ { 3 } ) ) ^ { 13 } \text { the coefficient of } x ^ { 30 }$$

Calcular

$$-\frac{hn\left(ef\right)^{3}\left(cot\right)^{2}\left(x^{7}-1\right)^{13}}{x^{9}}$$

Expandir

$$-hn\left(ef\right)^{3}\left(cot\right)^{2}x^{82}+13hn\left(ef\right)^{3}\left(cot\right)^{2}x^{75}-78hn\left(ef\right)^{3}\left(cot\right)^{2}x^{68}+286hn\left(ef\right)^{3}\left(cot\right)^{2}x^{61}-715hn\left(ef\right)^{3}\left(cot\right)^{2}x^{54}+1287hn\left(ef\right)^{3}\left(cot\right)^{2}x^{47}-1716hn\left(ef\right)^{3}\left(cot\right)^{2}x^{40}+1716hn\left(ef\right)^{3}\left(cot\right)^{2}x^{33}-1287hn\left(ef\right)^{3}\left(cot\right)^{2}x^{26}+715hn\left(ef\right)^{3}\left(cot\right)^{2}x^{19}-286hn\left(ef\right)^{3}\left(cot\right)^{2}x^{12}+78hn\left(ef\right)^{3}x^{5}\left(cot\right)^{2}-13hn\left(ef\right)^{3}\times \left(\frac{cot}{x}\right)^{2}+\frac{hn\left(ef\right)^{3}\left(cot\right)^{2}}{x^{9}}$$