erweitern (x^4+5x^2+2)/(x^2(x^2+1)^2)

Lösung

erweitern

\frac{x ^{4} + 5 x ^{2} + 2}{x ^{2} ( x ^{2} + 1 ) ^{2}}

\frac{x ^{4} + 5 x ^{2} + 2}{x ^{6} + 2 x ^{4} + x ^{2}}

Schritte zur Lösung

\frac{x ^{4} + 5 x ^{2} + 2}{x ^{2} ( x ^{2} + 1 ) ^{2}}

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

= \frac{x ^{4} + 5 x ^{2} + 2}{x ^{2} ( x ^{4} + 2 x ^{2} + 1 )}

Multipliziere aus

x^{2} (x^{4} + 2 x^{2} + 1) : x^{6} + 2 x^{4} + x^{2}

= \frac{x ^{4} + 5 x ^{2} + 2}{x ^{6} + 2 x ^{4} + x ^{2}}

e x p an d \frac{( x - 18 )}{( x + 1 ) ( x - 5 )}

\frac{\partial}{\partial x} ((y) (3 x^{2} + y^{2})^{3})

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

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

e x p an d (e - 3 x) d x