erweitern a(x+b/(2a))^2-(b^2)/(4a)+c

Lösung

erweitern

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

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

Schritte zur Lösung

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

Schreibe

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

um:

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

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

Vereinfache

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

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

\frac{d ^{3}}{d x ^{3}} ((y) (x^{4} - 2 x^{3} + 3 x - 1))

e x p an d (2 - \frac{1}{4 x})^{5}

e x p an d 1 + \frac{k}{m s ^{2}} (\frac{s + a}{s + b})

s im pl i f y 2 (1 + sin (x))

e x p an d 7 sin (22 (x - 13)) - 21