erweitern 3((x+1)^2(x-1)^2)

Lösung

erweitern

3 ((x + 1)^{2} (x - 1)^{2})

3 x^{4} - 6 x^{2} + 3

Schritte zur Lösung

3 ((x + 1)^{2} (x - 1)^{2})

Entferne die Klammern:

(a) = a

= 3 (x + 1)^{2} (x - 1)^{2}

(x + 1)^{2} = x^{2} + 2 x + 1

= 3 (x^{2} + 2 x + 1) (x - 1)^{2}

(x - 1)^{2} = x^{2} - 2 x + 1

= 3 (x^{2} + 2 x + 1) (x^{2} - 2 x + 1)

Multipliziere aus

(x^{2} + 2 x + 1) (x^{2} - 2 x + 1) : x^{4} - 2 x^{2} + 1

= 3 (x^{4} - 2 x^{2} + 1)

Multipliziere aus

3 (x^{4} - 2 x^{2} + 1) : 3 x^{4} - 6 x^{2} + 3

= 3 x^{4} - 6 x^{2} + 3

e x p an d (12 = 0.074 x + 2.59 + 7.4 x) \cdot 7.4

e x p an d \frac{- 12 x ^{2} - x + 33}{( x - 1 ) ( x + 3 ) ( 3 - 2 x )}

e x p an d \frac{( 8 t - 2 ) ^{2}}{9}

s im pl i f y (1 - \frac{t}{10}) (1 - \frac{t}{7})

e x p an d \frac{1}{11} (e^{x} - e^{- x})