erweitern 1/(5(x-3)^2(x+1)(x-1)^3)

Lösung

erweitern

\frac{1}{5 ( x - 3 ) ^{2} ( x + 1 ) ( x - 1 ) ^{3}}

\frac{1}{5 x ^{6} - 40 x ^{5} + 105 x ^{4} - 80 x ^{3} - 65 x ^{2} + 120 x - 45}

Schritte zur Lösung

\frac{1}{5 ( x - 3 ) ^{2} ( x + 1 ) ( x - 1 ) ^{3}}

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{1}{5 ( x ^{2} - 6 x + 9 ) ( x + 1 ) ( x - 1 ) ^{3}}

(x - 1)^{3} = x^{3} - 3 x^{2} + 3 x - 1

= \frac{1}{5 ( x ^{2} - 6 x + 9 ) ( x + 1 ) ( x ^{3} - 3 x ^{2} + 3 x - 1 )}

Multipliziere aus

5 (x^{2} - 6 x + 9) (x + 1) (x^{3} - 3 x^{2} + 3 x - 1) : 5 x^{6} - 40 x^{5} + 105 x^{4} - 80 x^{3} - 65 x^{2} + 120 x - 45

= \frac{1}{5 x ^{6} - 40 x ^{5} + 105 x ^{4} - 80 x ^{3} - 65 x ^{2} + 120 x - 45}

s im pl i f y s (k + \frac{- g m - l g m - s ^{2} m - m I - l m I}{- g - s ^{2} - I})

e x p an d \frac{2 ( 5 x - 7 )}{3}

e x p an d 6 (11 + 7)

e x p an d \frac{5 x ^{2} + 3 x + 1}{( x + 2 ) ( x ^{2} + 1 )}

e x p an d (a x^{2} + b x + c) (q x^{2} + w x + e)