erweitern (b^3-c^3-3cb^2+3c^2b)/((b-c)(b^2-c^2))

Lösung

erweitern

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

\frac{b ^{3} - c ^{3} - 3 b ^{2} c + 3 b c ^{2}}{b ^{3} - b c ^{2} - b ^{2} c + c ^{3}}

Schritte zur Lösung

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

Multipliziere aus

(b - c) (b^{2} - c^{2}) : b^{3} - b c^{2} - b^{2} c + c^{3}

= \frac{b ^{3} - c ^{3} - 3 b ^{2} c + 3 b c ^{2}}{b ^{3} - b c ^{2} - b ^{2} c + c ^{3}}

e x p an d \frac{2 x ^{4} + 4 x ^{3} - 4 x ^{2} - 8 x - 6}{( 1 + x ) ^{6}}

e x p an d \frac{s ^{2} + 5 s + 1}{s ( s ^{2} - 3 s - 10 )}

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

e x p an d 4 + 5 i (3, - 2)

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