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

Lösung

erweitern

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

\frac{x ^{3} + 3 x ^{2} + 2 x}{x ^{3} + 9 x ^{2} + 27 x + 27}

Schritte zur Lösung

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

(x + 3)^{3} = x^{3} + 9 x^{2} + 27 x + 27

= \frac{x ( x + 1 ) ( x + 2 )}{x ^{3} + 9 x ^{2} + 27 x + 27}

Multipliziere aus

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

= \frac{x ^{3} + 3 x ^{2} + 2 x}{x ^{3} + 9 x ^{2} + 27 x + 27}

e x p an d (16900 - 260 a + a^{2}) + 360 a - 21600

e x p an d (1 - x^{2}) x^{''} - 2 x^{'}

e x p an d \frac{1}{t ( t - 4 )}

e x p an d \frac{5 π ( 226 226 - 1 )}{27}

e x p an d lo g_{10} (4 \frac{b ^{7}}{b + 6})