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

Lösung

erweitern

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

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

Schritte zur Lösung

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

(1 + x)^{2} = 1 + 2 x + x^{2}

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

Multipliziere aus

x (1 + x^{2}) : x + x^{3}

= \frac{1 + 2 x + x ^{2}}{x + x ^{3}}

e x p an d \frac{y ( 25 y - 32 ) ^{2}}{1012}

e x p an d (y cos (x) + 2 x e^{y}) + (sin (x) + x^{2} e^{y - 1}) y^{'} (x)

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

e x p an d \frac{x ( x - 1 )}{( x + 6 ) ( x - 5 )}

e x p an d \frac{4 ( x - 1 ) ^{2}}{x ^{2} - 4 x + 5}