erweitern 1/((6x+5)^9)

Lösung

erweitern

\frac{1}{( 6 x + 5 ) ^{9}}

\frac{1}{10077696 x ^{9} + 75582720 x ^{8} + 251942400 x ^{7} + 489888000 x ^{6} + 612360000 x ^{5} + 510300000 x ^{4} + 283500000 x ^{3} + 101250000 x ^{2} + 21093750 x + 1953125}

Schritte zur Lösung

\frac{1}{( 6 x + 5 ) ^{9}}

(6 x + 5)^{9} = 10077696 x^{9} + 75582720 x^{8} + 251942400 x^{7} + 489888000 x^{6} + 612360000 x^{5} + 510300000 x^{4} + 283500000 x^{3} + 101250000 x^{2} + 21093750 x + 1953125

= \frac{1}{10077696 x ^{9} + 75582720 x ^{8} + 251942400 x ^{7} + 489888000 x ^{6} + 612360000 x ^{5} + 510300000 x ^{4} + 283500000 x ^{3} + 101250000 x ^{2} + 21093750 x + 1953125}

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

e x p an d (e - 5) (f - 2 g)

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

e x p an d \frac{13 ( x - 1 )}{( 5 - 2 x ) ( 3 x - 1 )}

e x p an d \frac{2 x ^{3} - 1}{( 2 x ^{4} - 4 x ) ^{3}}