erweitern (x^5+49)/((x^2-x)(x^4+14x^2+49))

Lösung

erweitern

\frac{x ^{5} + 49}{( x ^{2} - x ) ( x ^{4} + 14 x ^{2} + 49 )}

\frac{x ^{5} + 49}{x ^{6} + 14 x ^{4} + 49 x ^{2} - x ^{5} - 14 x ^{3} - 49 x}

Schritte zur Lösung

\frac{x ^{5} + 49}{( x ^{2} - x ) ( x ^{4} + 14 x ^{2} + 49 )}

Multipliziere aus

(x^{2} - x) (x^{4} + 14 x^{2} + 49) : x^{6} + 14 x^{4} + 49 x^{2} - x^{5} - 14 x^{3} - 49 x

= \frac{x ^{5} + 49}{x ^{6} + 14 x ^{4} + 49 x ^{2} - x ^{5} - 14 x ^{3} - 49 x}

e x p an d \frac{x ^{2} + 24 a + 6 a x - 16}{6 ( x + 4 )}

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

e x p an d \frac{8}{\frac{1}{4}}

e x p an d \frac{2 x ( 1 + sin ( x ) )}{1 + cos ^{2} ( x )}

e x p an d \frac{12 d x}{( x - 8 ) ( x + 3 )}