erweitern (x+2/9)^3(x+1/3)^2

Lösung

erweitern

(x + \frac{2}{9})^{3} (x + \frac{1}{3})^{2}

\frac{( 9 x ^{2} + 6 x + 1 ) ( 729 x ^{3} + 108 x + 486 x ^{2} + 8 )}{6561}

Schritte zur Lösung

(x + \frac{2}{9})^{3} (x + \frac{1}{3})^{2}

Schreibe

(x + \frac{1}{3})^{2}

um:

\frac{9 x ^{2} + 6 x + 1}{9}

= (x + \frac{2}{9})^{3} \frac{9 x ^{2} + 6 x + 1}{9}

= \frac{9 x ^{2} + 6 x + 1}{9} (x + \frac{2}{9})^{3}

Schreibe

(x + \frac{2}{9})^{3}

um:

\frac{729 x ^{3} + 108 x + 486 x ^{2} + 8}{729}

= \frac{9 x ^{2} + 6 x + 1}{9} \cdot \frac{729 x ^{3} + 108 x + 486 x ^{2} + 8}{729}

Vereinfache

\frac{9 x ^{2} + 6 x + 1}{9} \cdot \frac{729 x ^{3} + 108 x + 486 x ^{2} + 8}{729} : \frac{( 9 x ^{2} + 6 x + 1 ) ( 729 x ^{3} + 108 x + 486 x ^{2} + 8 )}{6561}

= \frac{( 9 x ^{2} + 6 x + 1 ) ( 729 x ^{3} + 108 x + 486 x ^{2} + 8 )}{6561}

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

e x p an d, 2 (x + 1) (x - 1) (x - 2)

e x p an d (x = 0, y = 0) (x = 2, y = - 4)

e x p an d \frac{1 - e ^{- 2 s}}{s ( s ^{2} - 3 )}

e x p an d (1, 2, - 2) l e f t (1, - 1, - 1)