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

Lösung

erweitern

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

\frac{3 y x ^{2} + y ^{3}}{x ^{4} + 2 y ^{2} x ^{2} + y ^{4}}

Schritte zur Lösung

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

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

= \frac{y ( y ^{2} + 3 x ^{2} )}{x ^{4} + 2 y ^{2} x ^{2} + y ^{4}}

Multipliziere aus

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

= \frac{3 y x ^{2} + y ^{3}}{x ^{4} + 2 y ^{2} x ^{2} + y ^{4}}

e x p an d - 3 sin (2) (x + 5)

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

e x p an d 0.45 (1 - e^{- (0.1) n})

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

e x p an d y (2 + sin (x))