erweitern 1/((1+x)^{18)}

Lösung

erweitern

\frac{1}{( 1 + x ) ^{18}}

\frac{1}{1 + 18 x + 153 x ^{2} + 816 x ^{3} + 3060 x ^{4} + 8568 x ^{5} + 18564 x ^{6} + 31824 x ^{7} + 43758 x ^{8} + 48620 x ^{9} + 43758 x ^{10} + 31824 x ^{11} + 18564 x ^{12} + 8568 x ^{13} + 3060 x ^{14} + 816 x ^{15} + 153 x ^{16} + 18 x ^{17} + x ^{18}}

Schritte zur Lösung

\frac{1}{( 1 + x ) ^{18}}

(1 + x)^{18} = 1 + 18 x + 153 x^{2} + 816 x^{3} + 3060 x^{4} + 8568 x^{5} + 18564 x^{6} + 31824 x^{7} + 43758 x^{8} + 48620 x^{9} + 43758 x^{10} + 31824 x^{11} + 18564 x^{12} + 8568 x^{13} + 3060 x^{14} + 816 x^{15} + 153 x^{16} + 18 x^{17} + x^{18}

= \frac{1}{1 + 18 x + 153 x ^{2} + 816 x ^{3} + 3060 x ^{4} + 8568 x ^{5} + 18564 x ^{6} + 31824 x ^{7} + 43758 x ^{8} + 48620 x ^{9} + 43758 x ^{10} + 31824 x ^{11} + 18564 x ^{12} + 8568 x ^{13} + 3060 x ^{14} + 816 x ^{15} + 153 x ^{16} + 18 x ^{17} + x ^{18}}

e x p an d \frac{y ^{3} ( b + zy ) ^{3}}{b + 2 zy}

e x p an d 10 (e - 1)

e x p an d \frac{s ^{2}}{( s - 3 ) ( s ^{2} + 5 )}

e x p an d \frac{2 s + 7}{( s + 3 ) ^{4}}

e x p an d \frac{3 x}{( x + 1 ) ^{2}}