erweitern 3/(4(2x+7)^9)

Lösung

erweitern

\frac{3}{4 ( 2 x + 7 ) ^{9}}

\frac{3}{2048 x ^{9} + 64512 x ^{8} + 903168 x ^{7} + 7375872 x ^{6} + 38723328 x ^{5} + 135531648 x ^{4} + 316240512 x ^{3} + 474360768 x ^{2} + 415065672 x + 161414428}

Schritte zur Lösung

\frac{3}{4 ( 2 x + 7 ) ^{9}}

(2 x + 7)^{9} = 512 x^{9} + 16128 x^{8} + 225792 x^{7} + 1843968 x^{6} + 9680832 x^{5} + 33882912 x^{4} + 79060128 x^{3} + 118590192 x^{2} + 103766418 x + 40353607

= \frac{3}{4 ( 512 x ^{9} + 16128 x ^{8} + 225792 x ^{7} + 1843968 x ^{6} + 9680832 x ^{5} + 33882912 x ^{4} + 79060128 x ^{3} + 118590192 x ^{2} + 103766418 x + 40353607 )}

Multipliziere aus

4 (512 x^{9} + 16128 x^{8} + 225792 x^{7} + 1843968 x^{6} + 9680832 x^{5} + 33882912 x^{4} + 79060128 x^{3} + 118590192 x^{2} + 103766418 x + 40353607) : 2048 x^{9} + 64512 x^{8} + 903168 x^{7} + 7375872 x^{6} + 38723328 x^{5} + 135531648 x^{4} + 316240512 x^{3} + 474360768 x^{2} + 415065672 x + 161414428

= \frac{3}{2048 x ^{9} + 64512 x ^{8} + 903168 x ^{7} + 7375872 x ^{6} + 38723328 x ^{5} + 135531648 x ^{4} + 316240512 x ^{3} + 474360768 x ^{2} + 415065672 x + 161414428}

e x p an d (2 - 2 e^{t})^{3}

e x p an d \frac{1}{( y - 4 ) ^{(5)}}

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

e x p an d \frac{r ( r + 1 ) ( 2 r + 1 )}{6}

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