erweitern (ax^2+bx+c)(qx^2+wx+e)

Lösung

erweitern

(a x^{2} + b x + c) (q x^{2} + w x + e)

a x^{4} q + a x^{3} w + e a x^{2} + b x^{3} q + b x^{2} w + e b x + c x^{2} q + c x w + ec

Schritte zur Lösung

(a x^{2} + b x + c) (q x^{2} + w x + e)

= (a x^{2} + b x + c) (x^{2} q + x w + e)

Setze Klammern

= a x^{2} q x^{2} + a x^{2} w x + a x^{2} e + b x q x^{2} + b x w x + b x e + c q x^{2} + c w x + ce

= a x^{2} x^{2} q + a x^{2} x w + e a x^{2} + b x^{2} x q + b xx w + e b x + c x^{2} q + c x w + ec

Vereinfache

a x^{2} x^{2} q + a x^{2} x w + e a x^{2} + b x^{2} x q + b xx w + e b x + c x^{2} q + c x w + ec : a x^{4} q + a x^{3} w + e a x^{2} + b x^{3} q + b x^{2} w + e b x + c x^{2} q + c x w + ec

= a x^{4} q + a x^{3} w + e a x^{2} + b x^{3} q + b x^{2} w + e b x + c x^{2} q + c x w + ec

s im pl i f y (x - 4 - 3 i)^{2}

e x p an d (23)^{2} + 2^{2}

e x p an d (50 - \frac{q}{2} = \frac{9}{4} 300 - 4 p) (75 - \frac{q}{4})

e x p an d, 5 (5 - x) + 3 (5 - x)^{2} + 3 x + 2 x^{3}

s im pl i f y (4 x - 3) (4 x + 3)