erweitern (x-b/(2a))^2-b(x-b/(2a))+c

Lösung

erweitern

(x - \frac{b}{2 a})^{2} - b (x - \frac{b}{2 a}) + c

\frac{4 x ^{2} a ^{2} - 4 x ba + b ^{2}}{4 a ^{2}} - b x + \frac{b ^{2}}{2 a} + c

Schritte zur Lösung

(x - \frac{b}{2 a})^{2} - b (x - \frac{b}{2 a}) + c

Schreibe

(x - \frac{b}{2 a})^{2}

um:

\frac{4 x ^{2} a ^{2} - 4 x ba + b ^{2}}{4 a ^{2}}

= \frac{4 x ^{2} a ^{2} - 4 x ba + b ^{2}}{4 a ^{2}} - b (x - \frac{b}{2 a}) + c

Schreibe

- b (x - \frac{b}{2 a})

um:

- b x + \frac{b ^{2}}{2 a}

= \frac{4 x ^{2} a ^{2} - 4 x ba + b ^{2}}{4 a ^{2}} - b x + \frac{b ^{2}}{2 a} + c

e x p an d \frac{6 ^{7}}{6 ^{4}}

e x p an d \frac{2 ( x ^{4} + 3 )}{x ^{4}}

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

s im pl i f y (1 + i)^{20} + (1 - i)^{18}

e x p an d (x - \frac{x ^{3}}{6} + \frac{x ^{5}}{120})^{2}