erweitern (a+bx+cx^2)*(d+ex+fx^2)

Lösung

erweitern

(a + b x + c x^{2}) \cdot (d + e x + f x^{2})

a d + e a x + a x^{2} f + b d x + e b x^{2} + b x^{3} f + c d x^{2} + ec x^{3} + c x^{4} f

Schritte zur Lösung

(a + b x + c x^{2}) (d + e x + f x^{2})

= (a + b x + c x^{2}) (d + e x + x^{2} f)

Setze Klammern

= a d + a e x + a f x^{2} + b x d + b x e x + b x f x^{2} + c x^{2} d + c x^{2} e x + c x^{2} f x^{2}

= a d + e a x + a x^{2} f + b d x + e b xx + b x^{2} x f + c d x^{2} + ec x^{2} x + c x^{2} x^{2} f

Vereinfache

a d + e a x + a x^{2} f + b d x + e b xx + b x^{2} x f + c d x^{2} + ec x^{2} x + c x^{2} x^{2} f : a d + e a x + a x^{2} f + b d x + e b x^{2} + b x^{3} f + c d x^{2} + ec x^{3} + c x^{4} f

= a d + e a x + a x^{2} f + b d x + e b x^{2} + b x^{3} f + c d x^{2} + ec x^{3} + c x^{4} f

e x p an d 5 (- 2 x - y = - 6)

\frac{d}{d y} ((q) (q^{0.3} + y^{0.3}))

e x p an d \frac{( s ( s + 100 ) ^{2} ( s + w ^{2} ) )}{s ^{2} + w}

s im pl i f y (1 - \frac{x}{2}) (5 + x)^{6}

s im pl i f y (- a - b - c)^{2} + 4 ab c