erweitern (-2x+h)/((x^2)(x+h)^2)

Lösung

erweitern

\frac{- 2 x + h}{( x ^{2} ) ( x + h ) ^{2}}

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

Schritte zur Lösung

\frac{- 2 x + h}{( x ^{2} ) ( x + h ) ^{2}}

Entferne die Klammern:

(a) = a

= \frac{- 2 x + h}{x ^{2} ( x + h ) ^{2}}

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

= \frac{- 2 x + h}{x ^{2} ( x ^{2} + 2 x h + h ^{2} )}

Multipliziere aus

x^{2} (x^{2} + 2 x h + h^{2}) : x^{4} + 2 x^{3} h + x^{2} h^{2}

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

e x p an d e^{t^{2}} (4 t^{3} - 7 t^{2} + 9 t)

e x p an d \frac{( y + 1 ) ( y + 8 )}{( y + 2 ) ( y - 6 )}

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

e x p an d a (4 x - 6 y = - 3)

e x p an d \frac{x}{( 0.08 - x ) ( 0.06 - x )}