erweitern (-10x^4+220x-810)/((x^2-9)^3)

Lösung

erweitern

\frac{- 10 x ^{4} + 220 x - 810}{( x ^{2} - 9 ) ^{3}}

\frac{- 10 x ^{4} + 220 x - 810}{x ^{6} - 27 x ^{4} + 243 x ^{2} - 729}

Schritte zur Lösung

\frac{- 10 x ^{4} + 220 x - 810}{( x ^{2} - 9 ) ^{3}}

(x^{2} - 9)^{3} = x^{6} - 27 x^{4} + 243 x^{2} - 729

= \frac{- 10 x ^{4} + 220 x - 810}{x ^{6} - 27 x ^{4} + 243 x ^{2} - 729}

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

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

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

e x p an d tan (α) (1 - cot^{2} (α)) + cot (α) (1 - tan^{2} (α))

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