erweitern (a^2+2as+s^2-b^2)/((a+s)^3)

Lösung

erweitern

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

\frac{a ^{2} + 2 a s + s ^{2} - b ^{2}}{a ^{3} + 3 a ^{2} s + 3 a s ^{2} + s ^{3}}

Schritte zur Lösung

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

(a + s)^{3} = a^{3} + 3 a^{2} s + 3 a s^{2} + s^{3}

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

e x p an d \frac{( ( 3 x ^{2} - 5 y ^{2} ) ( x ^{2} + y ^{2} ) )}{4 x ^{2} y ^{2}}

s im pl i f y (3 - x + 3)^{2}

e x p an d (t + e^{t}) (8 - t)

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

e x p an d \frac{π}{3} ((18 + y) (3 + \frac{y}{6})^{2} - 21 \cdot 3^{2}) y