erweitern (3(u^2+u-3))/(u(u-3)^2)

Lösung

erweitern

\frac{3 ( u ^{2} + u - 3 )}{u ( u - 3 ) ^{2}}

\frac{3 u ^{2} + 3 u - 9}{u ^{3} - 6 u ^{2} + 9 u}

Schritte zur Lösung

\frac{3 ( u ^{2} + u - 3 )}{u ( u - 3 ) ^{2}}

(u - 3)^{2} = u^{2} - 6 u + 9

= \frac{3 ( u ^{2} + u - 3 )}{u ( u ^{2} - 6 u + 9 )}

Multipliziere aus

u (u^{2} - 6 u + 9) : u^{3} - 6 u^{2} + 9 u

= \frac{3 ( u ^{2} + u - 3 )}{u ^{3} - 6 u ^{2} + 9 u}

Multipliziere aus

3 (u^{2} + u - 3) : 3 u^{2} + 3 u - 9

= \frac{3 u ^{2} + 3 u - 9}{u ^{3} - 6 u ^{2} + 9 u}

e x p an d sin (x) (1 + cos (x) d x)

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

e x p an d - \frac{2 ( 8 s + 23 )}{( s - 4 ) ( s ( 1 + s ) - 6 )}

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

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