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

Lösung

erweitern

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

\frac{x ^{5} - 2 x ^{4} + x ^{3}}{4 x ^{2} + 4 x + 1}

Schritte zur Lösung

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

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

= \frac{x ^{3} ( x - 1 ) ^{2}}{4 x ^{2} + 4 x + 1}

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

= \frac{x ^{3} ( x ^{2} - 2 x + 1 )}{4 x ^{2} + 4 x + 1}

Multipliziere aus

x^{3} (x^{2} - 2 x + 1) : x^{5} - 2 x^{4} + x^{3}

= \frac{x ^{5} - 2 x ^{4} + x ^{3}}{4 x ^{2} + 4 x + 1}

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

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

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

e x p an d A (2, - 3) B (6, - 2)

e x p an d (4, 6) y (1, - 3)