erweitern (12(-243x^2-216x-8))/((9x^2+8x+8)^3)

Lösung

erweitern

\frac{12 ( - 243 x ^{2} - 216 x - 8 )}{( 9 x ^{2} + 8 x + 8 ) ^{3}}

\frac{- 2916 x ^{2} - 2592 x - 96}{729 x ^{6} + 1944 x ^{5} + 3672 x ^{4} + 3968 x ^{3} + 3264 x ^{2} + 1536 x + 512}

Schritte zur Lösung

\frac{12 ( - 243 x ^{2} - 216 x - 8 )}{( 9 x ^{2} + 8 x + 8 ) ^{3}}

(9 x^{2} + 8 x + 8)^{3} = 729 x^{6} + 1944 x^{5} + 3672 x^{4} + 3968 x^{3} + 3264 x^{2} + 1536 x + 512

= \frac{12 ( - 243 x ^{2} - 216 x - 8 )}{729 x ^{6} + 1944 x ^{5} + 3672 x ^{4} + 3968 x ^{3} + 3264 x ^{2} + 1536 x + 512}

Multipliziere aus

12 (- 243 x^{2} - 216 x - 8) : - 2916 x^{2} - 2592 x - 96

= \frac{- 2916 x ^{2} - 2592 x - 96}{729 x ^{6} + 1944 x ^{5} + 3672 x ^{4} + 3968 x ^{3} + 3264 x ^{2} + 1536 x + 512}

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

e x p an d v (3, - 3) v (0, 3)

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

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

e x p an d \frac{( 3 x + 1 ) y}{x}