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

Lösung

erweitern

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

\frac{2 x + 2 x ^{2}}{1 + 4 x + 4 x ^{2}}

Schritte zur Lösung

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

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

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

Multipliziere aus

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

= \frac{2 x + 2 x ^{2}}{1 + 4 x + 4 x ^{2}}

e x p an d (4 v^{2} - v sin (θ))^{2}

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

e x p an d x^{3} \cdot e^{3 x^{2}} (2 x + 3)

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

e x p an d (sec (x) + tan (x))^{3} (sec (x) - tan (x))^{4}