erweitern 3/(56(2x-1)^7)

Lösung

erweitern

\frac{3}{56 ( 2 x - 1 ) ^{7}}

\frac{3}{7168 x ^{7} - 25088 x ^{6} + 37632 x ^{5} - 31360 x ^{4} + 15680 x ^{3} - 4704 x ^{2} + 784 x - 56}

Schritte zur Lösung

\frac{3}{56 ( 2 x - 1 ) ^{7}}

(2 x - 1)^{7} = 128 x^{7} - 448 x^{6} + 672 x^{5} - 560 x^{4} + 280 x^{3} - 84 x^{2} + 14 x - 1

= \frac{3}{56 ( 128 x ^{7} - 448 x ^{6} + 672 x ^{5} - 560 x ^{4} + 280 x ^{3} - 84 x ^{2} + 14 x - 1 )}

Multipliziere aus

56 (128 x^{7} - 448 x^{6} + 672 x^{5} - 560 x^{4} + 280 x^{3} - 84 x^{2} + 14 x - 1) : 7168 x^{7} - 25088 x^{6} + 37632 x^{5} - 31360 x^{4} + 15680 x^{3} - 4704 x^{2} + 784 x - 56

= \frac{3}{7168 x ^{7} - 25088 x ^{6} + 37632 x ^{5} - 31360 x ^{4} + 15680 x ^{3} - 4704 x ^{2} + 784 x - 56}

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

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

e x p an d l m (w x) + (3 x + 1) ln (x)

e x p an d \frac{x ( x - 9 )}{x - 81}

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