erweitern (x-d)(x-e)(x-f)

Lösung

erweitern

(x - d) (x - e) (x - f)

x^{3} - x^{2} f - e x^{2} + e x f - d x^{2} + d x f + e d x - e df

Schritte zur Lösung

(x - d) (x - e) (x - f)

Multipliziere aus

(x - d) (x - e) : x^{2} - e x - d x + e d

= (x^{2} - e x - d x + e d) (x - f)

Multipliziere aus

(x^{2} - e x - d x + e d) (x - f) : x^{3} - x^{2} f - e x^{2} + e x f - d x^{2} + d x f + e d x - e df

= x^{3} - x^{2} f - e x^{2} + e x f - d x^{2} + d x f + e d x - e df

e x p an d x^{\frac{3}{4}} (3 x - 3)

s im pl i f y \frac{1}{( x + x ^{2} - 1 ) ^{2}}

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

e x p an d (1 - cos (2 x)) (1 - cos (2 x)) (1 - cos (2 x))

e x p an d f (x - 10) (x + 10) d x