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

Lösung

erweitern

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

\frac{3 x ^{2}}{- 3 x ^{3} - 11 x ^{2} - 8 x + 4}

Schritte zur Lösung

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

(2 + x)^{2} = 4 + 4 x + x^{2}

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

Multipliziere aus

(1 - 3 x) (4 + 4 x + x^{2}) : - 3 x^{3} - 11 x^{2} - 8 x + 4

= \frac{3 x ^{2}}{- 3 x ^{3} - 11 x ^{2} - 8 x + 4}

e x p an d \frac{( - 3 x - 2 ) h + 3 x + 2}{h}

e x p an d \frac{( b ^{2} + a ^{2} ) ( b + a )}{2 ( b ^{2} + ba + a ^{2} )}

e x p an d f (x y) 5 (2 x + y - 3)^{2}

e x p an d \frac{d}{d x} ((1 - x) cos (x)) + 2 x^{2} sin (x)

e x p an d (- 12 y - 4 z = 16) 4