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

Lösung

erweitern

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

u^{2} + 6 u a + 12 a^{2} + \frac{8 a ^{3}}{u}

Schritte zur Lösung

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

(u + 2 a)^{3} = u^{3} + 6 u^{2} a + 12 u a^{2} + 8 a^{3}

= \frac{u ^{3} + 6 u ^{2} a + 12 u a ^{2} + 8 a ^{3}}{u}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{u ^{3} + 6 u ^{2} a + 12 u a ^{2} + 8 a ^{3}}{u} = \frac{u ^{3}}{u} + \frac{6 u ^{2} a}{u} + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

= \frac{u ^{3}}{u} + \frac{6 u ^{2} a}{u} + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

Streiche

\frac{u ^{3}}{u} : u^{2}

= u^{2} + \frac{6 u ^{2} a}{u} + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

Streiche

\frac{6 u ^{2} a}{u} : 6 u a

= u^{2} + 6 u a + \frac{12 u a ^{2}}{u} + \frac{8 a ^{3}}{u}

Streiche

\frac{12 u a ^{2}}{u} : 12 a^{2}

= u^{2} + 6 u a + 12 a^{2} + \frac{8 a ^{3}}{u}

e x p an d d i s t r ib u t i v e (a - 2) (a - 4)

e x p an d \frac{20000}{2600}

e x p an d f (f (1, 1), 5 - f (3, 0))

e x p an d 2 (a + 3 = - 12)

e x p an d (6 - b) tan (5 0^{\circ})