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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

(x + 1)^{3} = x^{3} + 3 x^{2} + 3 x + 1

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

e x p an d (3 + 2 x + 4 x^{2})^{5}

e x p an d \frac{( u + 5 ) ( 24 u - 30 )}{4 u ^{4} - 25 u ^{2}}

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

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

e x p an d \frac{4 x ^{2}}{( 1 - x ) ( 1 + x ^{2} ) ^{2}}