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

Lösung

erweitern

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

x^{\frac{9}{2}} - 2 x^{\frac{5}{2}} + x^{\frac{1}{2}}

Schritte zur Lösung

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

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

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

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

x^{\frac{1}{2}} x^{4} = x^{\frac{9}{2}}

x^{\frac{1}{2}} (- 2 x^{2}) = - 2 x^{\frac{5}{2}}

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

= x^{\frac{9}{2}} - 2 x^{\frac{5}{2}} + x^{\frac{1}{2}}

e x p an d π (x^{4} - 2 x^{2} + 1) - (x - 2 x = 1)

e x p an d [\frac{2 x ^{2} + 6 x + 5}{( x ^{2} + 3 x + 2 ) ^{2}}]

s im pl i f y ((\frac{2390323}{140761})^{\frac{1}{69}} - 1) 100

e x p an d (2, - 1, 6) y (3, 1, - 2)

e x p an d 350 (1 - \frac{1}{e ^{2}})