erweitern 1/((1+x)^{10)}

Lösung

erweitern

\frac{1}{( 1 + x ) ^{10}}

\frac{1}{1 + 10 x + 45 x ^{2} + 120 x ^{3} + 210 x ^{4} + 252 x ^{5} + 210 x ^{6} + 120 x ^{7} + 45 x ^{8} + 10 x ^{9} + x ^{10}}

Schritte zur Lösung

\frac{1}{( 1 + x ) ^{10}}

(1 + x)^{10} = 1 + 10 x + 45 x^{2} + 120 x^{3} + 210 x^{4} + 252 x^{5} + 210 x^{6} + 120 x^{7} + 45 x^{8} + 10 x^{9} + x^{10}

= \frac{1}{1 + 10 x + 45 x ^{2} + 120 x ^{3} + 210 x ^{4} + 252 x ^{5} + 210 x ^{6} + 120 x ^{7} + 45 x ^{8} + 10 x ^{9} + x ^{10}}

e x p an d 8

\frac{\partial}{\partial x} ((w (x, y)) (x^{2} + y^{2}))

e x p an d 2 (ln (\frac{53}{2}) + 6)

s im pl i f y 2 (11 + 41)

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