erweitern-2x^{7/2}(x^2+1)

Lösung

erweitern

- 2 x^{\frac{7}{2}} (x^{2} + 1)

- 2 x^{\frac{11}{2}} - 2 x^{\frac{7}{2}}

Schritte zur Lösung

- 2 x^{\frac{7}{2}} (x^{2} + 1)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

- 2 x^{\frac{7}{2}} (x^{2} + 1) = - 2 x^{\frac{7}{2}} x^{2} - 2 x^{\frac{7}{2}} \cdot 1

= - 2 x^{\frac{7}{2}} x^{2} - 2 x^{\frac{7}{2}} \cdot 1

- 2 x^{\frac{7}{2}} x^{2} = - 2 x^{\frac{11}{2}}

2 x^{\frac{7}{2}} \cdot 1 = 2 x^{\frac{7}{2}}

= - 2 x^{\frac{11}{2}} - 2 x^{\frac{7}{2}}

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

e x p an d \frac{2 ( cos ( θ ) + sin ( θ ) )}{sin ( 2 θ ) + cos ( 2 θ ) + 1}

e x p an d lo g_{e} (2)

e x p an d (tan (β) - 1)^{2}

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