erweitern (x^3+3x^2+6x+6)/((x^2+x+1)^2)

Lösung

erweitern

\frac{x ^{3} + 3 x ^{2} + 6 x + 6}{( x ^{2} + x + 1 ) ^{2}}

\frac{x ^{3} + 3 x ^{2} + 6 x + 6}{x ^{4} + 2 x ^{3} + 3 x ^{2} + 2 x + 1}

Schritte zur Lösung

\frac{x ^{3} + 3 x ^{2} + 6 x + 6}{( x ^{2} + x + 1 ) ^{2}}

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

= \frac{x ^{3} + 3 x ^{2} + 6 x + 6}{x ^{4} + 2 x ^{3} + 3 x ^{2} + 2 x + 1}

e x p an d (2 sin (x) - sin (2 x)) csc^{2} (\frac{x}{2})

s im pl i f y (x + 2 y)^{2}

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

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

e x p an d \frac{L - 11}{( s + 1 ) ( s ^{2} + 1 )}