erweitern (5x^2-2)/(x^3(x+1)^2)

Lösung

erweitern

\frac{5 x ^{2} - 2}{x ^{3} ( x + 1 ) ^{2}}

\frac{5 x ^{2} - 2}{x ^{5} + 2 x ^{4} + x ^{3}}

Schritte zur Lösung

\frac{5 x ^{2} - 2}{x ^{3} ( x + 1 ) ^{2}}

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

= \frac{5 x ^{2} - 2}{x ^{3} ( x ^{2} + 2 x + 1 )}

Multipliziere aus

x^{3} (x^{2} + 2 x + 1) : x^{5} + 2 x^{4} + x^{3}

= \frac{5 x ^{2} - 2}{x ^{5} + 2 x ^{4} + x ^{3}}

e x p an d 1 + (e^{- x^{2}} - 2 e^{- x^{2}} x^{2})^{2}

e x p an d (3 + 9 - k)^{3}

s im pl i f y (\frac{x}{y} - \frac{y}{z})^{2}

e x p an d \frac{6 ( 7 ^{20} - 5 ^{20} )}{7 ^{20}} - \frac{144}{49}

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