vereinfachen (x-1)(x^2-9)(x^2-x+1/2)(x^2+4)

Lösung

vereinfachen

(x - 1) (x^{2} - 9) (x^{2} - x + \frac{1}{2}) (x^{2} + 4)

\frac{( x - 1 ) ( x ^{2} - 9 ) ( 2 x ^{2} - 2 x + 1 ) ( x ^{2} + 4 )}{2}

Schritte zur Lösung

(x - 1) (x^{2} - 9) (x^{2} - x + \frac{1}{2}) (x^{2} + 4)

Vereinfache

x^{2} - x + \frac{1}{2} : \frac{2 x ^{2} - 2 x + 1}{2}

= (x - 1) (x^{2} - 9) \frac{2 x ^{2} - 2 x + 1}{2} (x^{2} + 4)

Wende Bruchregel an:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( x - 1 ) ( x ^{2} - 9 ) ( 2 x ^{2} - 2 x + 1 ) ( x ^{2} + 4 )}{2}

e x p an d - sin (θ) (1 - x^{2})

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

e x p an d \frac{d}{d ^{4}} (y = 2 x^{4} - 6 x^{3} + 7 x^{2} + 5 x)

e x p an d (y - 2) + (x + 7) y^{'} (x)

e x p an d (1 - t) \cdot (0, 1, 0)