erweitern x^{1/2}*(x^2+1)

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

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

x^{\frac{1}{2}} x^{2} = x^{\frac{5}{2}}

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

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

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

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

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

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

e x p an d 10 (1 + 499 e^{- 1.78 t})