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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

Multipliziere aus

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

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

e x p an d \frac{10 x ^{2} + 20 x + 45}{( x + 4 ) ( x ^{2} + 9 )}

e x p an d e^{x} (6 x - 3 x^{2})

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

e x p an d \frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

e x p an d 3 x^{4} (5 x^{3} - 3 x + 1)