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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

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

e x p an d - 2 (4 + 5)

e x p an d π (22 - \frac{3}{2})

e x p an d (x + 100) \cdot tan (\frac{1631 π}{6000})

s im pl i f y 3 (cos (x^{3} + 2))^{2} (- sin (x^{3} + 2)) (3 x^{2} + 2)

s im pl i f y (x + 1 + 5) (x + 1 - 5)