erweitern 1/(x^2(x+2)^3)

Lösung

erweitern

\frac{1}{x ^{2} ( x + 2 ) ^{3}}

\frac{1}{x ^{5} + 6 x ^{4} + 12 x ^{3} + 8 x ^{2}}

Schritte zur Lösung

\frac{1}{x ^{2} ( x + 2 ) ^{3}}

(x + 2)^{3} = x^{3} + 6 x^{2} + 12 x + 8

= \frac{1}{x ^{2} ( x ^{3} + 6 x ^{2} + 12 x + 8 )}

Multipliziere aus

x^{2} (x^{3} + 6 x^{2} + 12 x + 8) : x^{5} + 6 x^{4} + 12 x^{3} + 8 x^{2}

= \frac{1}{x ^{5} + 6 x ^{4} + 12 x ^{3} + 8 x ^{2}}

e x p an d l imh \Rightarrow 0 (3 + h) 3 - 27 h

e x p an d 2 (3 x - 2 y = 17)

e x p an d 4 x + 1 + 2 x + 7

s im pl i f y (3 x + 2 \circ 4 - 5 x) (x)

e x p an d \frac{2 x ^{2} - 4 x + 3}{( x - 1 ) ^{2}}