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

Lösung

erweitern

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

\frac{x ^{3} - x ^{2} - 5 x - 3}{x ^{3} + 4 x ^{2} - 3 x - 18}

Schritte zur Lösung

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

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

= \frac{( x + 1 ) ^{2} ( x - 3 )}{( x ^{2} + 6 x + 9 ) ( x - 2 )}

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

= \frac{( x ^{2} + 2 x + 1 ) ( x - 3 )}{( x ^{2} + 6 x + 9 ) ( x - 2 )}

Multipliziere aus

(x^{2} + 6 x + 9) (x - 2) : x^{3} + 4 x^{2} - 3 x - 18

= \frac{( x ^{2} + 2 x + 1 ) ( x - 3 )}{x ^{3} + 4 x ^{2} - 3 x - 18}

Multipliziere aus

(x^{2} + 2 x + 1) (x - 3) : x^{3} - x^{2} - 5 x - 3

= \frac{x ^{3} - x ^{2} - 5 x - 3}{x ^{3} + 4 x ^{2} - 3 x - 18}

e x p an d \frac{3 ( 12 x + 11 )}{2}

e x p an d \frac{5 ( 3 22 - 4 )}{91}

e x p an d d t ((5 x^{2} + 2 x - 8))

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

\frac{d ^{2}}{d x ^{2}} ((y) (12 x - 7 + \frac{8}{x ^{3}}))