erweitern 1/((1+3x)^4)

Lösung

erweitern

\frac{1}{( 1 + 3 x ) ^{4}}

\frac{1}{1 + 12 x + 54 x ^{2} + 108 x ^{3} + 81 x ^{4}}

Schritte zur Lösung

\frac{1}{( 1 + 3 x ) ^{4}}

(1 + 3 x)^{4} = 1 + 12 x + 54 x^{2} + 108 x^{3} + 81 x^{4}

= \frac{1}{1 + 12 x + 54 x ^{2} + 108 x ^{3} + 81 x ^{4}}

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

e x p an d \frac{10}{( x - 1 ) ( x ^{2} + 9 )}

e x p an d \frac{s + 2}{( s + 4 ) ( s ^{2} + 7 s + 12 )}

e x p an d \frac{19 ( 40 s + 11 )}{6 ( 4 s + 3 ) ^{2} ( 5 s - 1 ) ^{2}}

e x p an d 6 (3 x - 10 = 5 (2 x + 15))