erweitern 3/2+1/3 (x-5/4)-1/27 (x-5/4)^2

Lösung

erweitern

\frac{3}{2} + \frac{1}{3} (x - \frac{5}{4}) - \frac{1}{27} (x - \frac{5}{4})^{2}

\frac{13}{12} + \frac{- 16 x ^{2} + 184 x - 25}{432}

Schritte zur Lösung

\frac{3}{2} + \frac{1}{3} (x - \frac{5}{4}) - \frac{1}{27} (x - \frac{5}{4})^{2}

Schreibe

\frac{1}{3} (x - \frac{5}{4})

um:

\frac{x}{3} - \frac{5}{12}

= \frac{3}{2} + \frac{x}{3} - \frac{5}{12} - \frac{1}{27} (x - \frac{5}{4})^{2}

Schreibe

- \frac{1}{27} (x - \frac{5}{4})^{2}

um:

- \frac{1}{27} \cdot \frac{16 x ^{2} - 40 x + 25}{16}

= \frac{3}{2} + \frac{x}{3} - \frac{5}{12} - \frac{1}{27} \cdot \frac{16 x ^{2} - 40 x + 25}{16}

Vereinfache

\frac{3}{2} + \frac{x}{3} - \frac{5}{12} - \frac{1}{27} \cdot \frac{16 x ^{2} - 40 x + 25}{16} : \frac{13}{12} + \frac{- 16 x ^{2} + 184 x - 25}{432}

= \frac{13}{12} + \frac{- 16 x ^{2} + 184 x - 25}{432}

e x p an d - 1 (2 x + y = 7)

e x p an d \frac{2 a ^{2}}{s ( s ^{2} - 4 a ^{2} )}

e x p an d x (2 x + 4)

s im pl i f y (3 - x 6)^{2}

e x p an d \frac{96 ( s + 5 ) ( s + 12 )}{s ( s + 8 ) ( s + 6 )}