erweitern (x^4)/((x^2-x+1)(x^2+5)^2)

Lösung

erweitern

\frac{x ^{4}}{( x ^{2} - x + 1 ) ( x ^{2} + 5 ) ^{2}}

\frac{x ^{4}}{x ^{6} - x ^{5} + 11 x ^{4} - 10 x ^{3} + 35 x ^{2} - 25 x + 25}

Schritte zur Lösung

\frac{x ^{4}}{( x ^{2} - x + 1 ) ( x ^{2} + 5 ) ^{2}}

(x^{2} + 5)^{2} = x^{4} + 10 x^{2} + 25

= \frac{x ^{4}}{( x ^{2} - x + 1 ) ( x ^{4} + 10 x ^{2} + 25 )}

Multipliziere aus

(x^{2} - x + 1) (x^{4} + 10 x^{2} + 25) : x^{6} - x^{5} + 11 x^{4} - 10 x^{3} + 35 x^{2} - 25 x + 25

= \frac{x ^{4}}{x ^{6} - x ^{5} + 11 x ^{4} - 10 x ^{3} + 35 x ^{2} - 25 x + 25}

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

\frac{d}{d t} ((x) (2 + 0.05 t))

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

e x p an d \frac{13}{2} (e^{3 t} - e^{- 3 t})

e x p an d (sec (x) + tan (x)) co x - 1