erweitern (a^3-3ab^2+2b^3)/(4ab^3(a^2-b^2))

Lösung

erweitern

\frac{a ^{3} - 3 a b ^{2} + 2 b ^{3}}{4 a b ^{3} ( a ^{2} - b ^{2} )}

\frac{a ^{3} - 3 a b ^{2} + 2 b ^{3}}{4 a ^{3} b ^{3} - 4 a b ^{5}}

Schritte zur Lösung

\frac{a ^{3} - 3 a b ^{2} + 2 b ^{3}}{4 a b ^{3} ( a ^{2} - b ^{2} )}

Multipliziere aus

4 a b^{3} (a^{2} - b^{2}) : 4 a^{3} b^{3} - 4 a b^{5}

= \frac{a ^{3} - 3 a b ^{2} + 2 b ^{3}}{4 a ^{3} b ^{3} - 4 a b ^{5}}

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

e x p an d \frac{1}{x ( x + 3 ) ( x ^{2} + 4 x + 8 )}

e x p an d \frac{( ( 1 - z ) ^{4} \cdot z )}{16}

e x p an d \frac{5 x ^{2} + 12 x + 3}{x ( x + 1 ) ^{2}}

e x p an d 3 (x + 3) (\frac{10}{x + 3} + \frac{10}{3} = 6)