erweitern (6x^2+4x)/((x+2)^2(x-1))

Lösung

erweitern

\frac{6 x ^{2} + 4 x}{( x + 2 ) ^{2} ( x - 1 )}

\frac{6 x ^{2} + 4 x}{x ^{3} + 3 x ^{2} - 4}

Schritte zur Lösung

\frac{6 x ^{2} + 4 x}{( x + 2 ) ^{2} ( x - 1 )}

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

= \frac{6 x ^{2} + 4 x}{( x ^{2} + 4 x + 4 ) ( x - 1 )}

Multipliziere aus

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

= \frac{6 x ^{2} + 4 x}{x ^{3} + 3 x ^{2} - 4}

e x p an d \frac{6 x ^{2} - 11 x - 32}{( x + 6 ) ( x + 1 ) ^{2}}

e x p an d \frac{1}{lo g _{10} ( x ) ( 2 + lo g _{10} ( x ) )}

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

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

\frac{d ^{2}}{d x ^{2}} ((y) (\frac{4 x ^{5}}{5} - 7 x))