erweitern (2x^2+6)(3x^{1/2})

Lösung

erweitern

(2 x^{2} + 6) (3 x^{\frac{1}{2}})

6 x^{\frac{5}{2}} + 18 x^{\frac{1}{2}}

Schritte zur Lösung

(2 x^{2} + 6) (3 x^{\frac{1}{2}})

= (3 x^{\frac{1}{2}}) (2 x^{2} + 6)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

(3 x^{\frac{1}{2}}) (2 x^{2} + 6) = 3 x^{\frac{1}{2}} \cdot 2 x^{2} + 3 x^{\frac{1}{2}} \cdot 6

= 3 x^{\frac{1}{2}} \cdot 2 x^{2} + 3 x^{\frac{1}{2}} \cdot 6

3 x^{\frac{1}{2}} \cdot 2 x^{2} = 6 x^{\frac{5}{2}}

3 x^{\frac{1}{2}} \cdot 6 = 18 x^{\frac{1}{2}}

= 6 x^{\frac{5}{2}} + 18 x^{\frac{1}{2}}

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

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

e x p an d 200 R - R^{2} (4 + π) + \frac{π R ^{2}}{2}

e x p an d \frac{4}{( 60 s ^{3} + 52 s ^{2} + 39 s + 13 ) 35}

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