erweitern (x(x-3)^2)/((x+4)^3)

Lösung

erweitern

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

\frac{x ^{3} - 6 x ^{2} + 9 x}{x ^{3} + 12 x ^{2} + 48 x + 64}

Schritte zur Lösung

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

(x + 4)^{3} = x^{3} + 12 x^{2} + 48 x + 64

= \frac{x ( x - 3 ) ^{2}}{x ^{3} + 12 x ^{2} + 48 x + 64}

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{x ( x ^{2} - 6 x + 9 )}{x ^{3} + 12 x ^{2} + 48 x + 64}

Multipliziere aus

x (x^{2} - 6 x + 9) : x^{3} - 6 x^{2} + 9 x

= \frac{x ^{3} - 6 x ^{2} + 9 x}{x ^{3} + 12 x ^{2} + 48 x + 64}

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

e x p an d A (- 4, 2) B (1, 5) C (3, - 4)

e x p an d - \frac{( - 3 x + 1 ) ( 93 x + 7 )}{1017}

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

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