erweitern (p(x))/((x^2+1)^2(x-1)^2)

Lösung

erweitern

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

\frac{p x}{x ^{6} - 2 x ^{5} + 3 x ^{4} - 4 x ^{3} + 3 x ^{2} - 2 x + 1}

Schritte zur Lösung

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

Entferne die Klammern:

(a) = a

= \frac{p x}{( x ^{2} + 1 ) ^{2} ( x - 1 ) ^{2}}

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

= \frac{p x}{( x ^{4} + 2 x ^{2} + 1 ) ( x - 1 ) ^{2}}

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

= \frac{p x}{( x ^{4} + 2 x ^{2} + 1 ) ( x ^{2} - 2 x + 1 )}

Multipliziere aus

(x^{4} + 2 x^{2} + 1) (x^{2} - 2 x + 1) : x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1

= \frac{p x}{x ^{6} - 2 x ^{5} + 3 x ^{4} - 4 x ^{3} + 3 x ^{2} - 2 x + 1}

e x p an d \frac{( 12 x + 18 )}{x ( x ^{2} + 9 )}

e x p an d (e^{j t} - e^{- j t})^{4}

e x p an d sin (2 x) (1 - tan (2 x) = tan (2 x) cos (2 x))

e x p an d P (- 1, 5) A (2, 1) y B (3, - 2)

e x p an d 8 x^{2} - 2 (- π^{225} + 2000) x + 625