erweitern (5x^2+9x+3)/(x(x+1)^2)

Lösung

erweitern

\frac{5 x ^{2} + 9 x + 3}{x ( x + 1 ) ^{2}}

\frac{5 x ^{2} + 9 x + 3}{x ^{3} + 2 x ^{2} + x}

Schritte zur Lösung

\frac{5 x ^{2} + 9 x + 3}{x ( x + 1 ) ^{2}}

(x + 1)^{2} = x^{2} + 2 x + 1

= \frac{5 x ^{2} + 9 x + 3}{x ( x ^{2} + 2 x + 1 )}

Multipliziere aus

x (x^{2} + 2 x + 1) : x^{3} + 2 x^{2} + x

= \frac{5 x ^{2} + 9 x + 3}{x ^{3} + 2 x ^{2} + x}

e x p an d \frac{8 x ^{\frac{2}{3}}}{( 4 x - 3 ) ^{\frac{2}{3}} ( 4 x + 3 ) ^{\frac{2}{3}}}

s im pl i f y (3 a - 9) (3 a + 11)

e x p an d (y - 3)^{2} cos (t)

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

e x p an d \frac{( 2 x + 3 ) ( x - 6 )}{( x + 2 ) ( x - 1 )}