erweitern (4x^3+5)(x^4+5x)^{1/2}

Lösung

erweitern

(4 x^{3} + 5) (x^{4} + 5 x)^{\frac{1}{2}}

(x^{4} + 5 x)^{\frac{1}{2}} \cdot 4 x^{3} + (x^{4} + 5 x)^{\frac{1}{2}} \cdot 5

Schritte zur Lösung

(4 x^{3} + 5) (x^{4} + 5 x)^{\frac{1}{2}}

= (x^{4} + 5 x)^{\frac{1}{2}} (4 x^{3} + 5)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

(x^{4} + 5 x)^{\frac{1}{2}} (4 x^{3} + 5) = (x^{4} + 5 x)^{\frac{1}{2}} \cdot 4 x^{3} + (x^{4} + 5 x)^{\frac{1}{2}} \cdot 5

= (x^{4} + 5 x)^{\frac{1}{2}} \cdot 4 x^{3} + (x^{4} + 5 x)^{\frac{1}{2}} \cdot 5

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

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

e x p an d 0.03916 (1 - e^{- 2.3 t}) - 0.015 t

e x p an d (7 + 7 sin (6 π t))^{2}

s im pl i f y (x - 5 y^{3}) (4 x + 5 y^{3})