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

Lösung

erweitern

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

x^{\frac{5}{2}} - 2 x^{\frac{3}{2}} + x^{\frac{1}{2}}

Schritte zur Lösung

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

Wende das Distributivgesetz an:

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

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

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

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

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

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

= x^{\frac{5}{2}} - 2 x^{\frac{3}{2}} + x^{\frac{1}{2}}

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

s im pl i f y 2 (6 - 2)

s im pl i f y \frac{1}{2} (- \frac{1}{7} cos (7 x) - \frac{1}{5} cos (5 x))

e x p an d 5 cos (0.5 (θ - π))

e x p an d \frac{( - 3 x ^{2} y + 1 ) ^{3}}{27 x ^{8}}