erweitern ([Kx(x+1)])/(x(x+1)^2+1)

Lösung

erweitern

\frac{[ K x ( x + 1 ) ]}{x ( x + 1 ) ^{2} + 1}

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

Schritte zur Lösung

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

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

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

Multipliziere aus

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

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

Multipliziere aus

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

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

e x p an d - \frac{8 sin ( θ )}{( 2 - cos ( θ ) ) ^{2}}

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

e x p an d \frac{( x - 0 ) ( x - 1 ) ( x - 4 )}{- 4}

e x p an d (\frac{1}{x ^{2}} + y^{3})^{4}

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