erweitern s(s+1/15)(3s+1)

Lösung

erweitern

s (s + \frac{1}{15}) (3 s + 1)

3 s^{3} + \frac{6 s ^{2}}{5} + \frac{s}{15}

Schritte zur Lösung

s (s + \frac{1}{15}) (3 s + 1)

Schreibe

s (s + \frac{1}{15}) (3 s + 1)

um:

s (3 s^{2} + \frac{6 s}{5} + \frac{1}{15})

= s (3 s^{2} + \frac{6 s}{5} + \frac{1}{15})

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

s (3 s^{2} + \frac{6 s}{5} + \frac{1}{15}) = s \cdot 3 s^{2} + s \frac{6 s}{5} + s \frac{1}{15}

= s \cdot 3 s^{2} + s \frac{6 s}{5} + s \frac{1}{15}

Vereinfache

s \cdot 3 s^{2} + s \frac{6 s}{5} + s \frac{1}{15} : 3 s^{3} + \frac{6 s ^{2}}{5} + \frac{s}{15}

= 3 s^{3} + \frac{6 s ^{2}}{5} + \frac{s}{15}

e x p an d \frac{15 s + 16}{( s + 1 ) ( 3 s + 2 )}

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

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

e x p an d (x + 2) \cdot 2 \cdot x - a

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