erweitern (x-5/4)^2+3

Lösung

erweitern

(x - \frac{5}{4})^{2} + 3

\frac{16 x ^{2} - 40 x + 25}{16} + 3

Schritte zur Lösung

(x - \frac{5}{4})^{2} + 3

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x - \frac{5}{4})^{2} = x^{2} - 2 x \frac{5}{4} + (\frac{5}{4})^{2}

= x^{2} - 2 x \frac{5}{4} + (\frac{5}{4})^{2} + 3

Vereinfache

x^{2} - 2 x \frac{5}{4} + (\frac{5}{4})^{2} : \frac{16 x ^{2} - 40 x + 25}{16}

= \frac{16 x ^{2} - 40 x + 25}{16} + 3

e x p an d (x sin (θ) + y cos (θ))^{2}

e x p an d \frac{4 x ( x ^{3} + 2 ) + 3 x ^{2}}{2 ( x ^{3} + 2 ) ^{\frac{1}{2}}}

e x p an d (17 - 3) (6 + 2)

e x p an d \frac{s ^{2} + 12}{( s ^{2} + 9 ) ( x + 2 ) ( x + 1 ) ( x - 1 )}

e x p an d 6 (4 a)