erweitern (-4x+6)/((x-2)^2(x-1)^2)

Lösung

erweitern

\frac{- 4 x + 6}{( x - 2 ) ^{2} ( x - 1 ) ^{2}}

\frac{- 4 x + 6}{x ^{4} - 6 x ^{3} + 13 x ^{2} - 12 x + 4}

Schritte zur Lösung

\frac{- 4 x + 6}{( x - 2 ) ^{2} ( x - 1 ) ^{2}}

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

= \frac{- 4 x + 6}{( x ^{2} - 4 x + 4 ) ( x - 1 ) ^{2}}

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

= \frac{- 4 x + 6}{( x ^{2} - 4 x + 4 ) ( x ^{2} - 2 x + 1 )}

Multipliziere aus

(x^{2} - 4 x + 4) (x^{2} - 2 x + 1) : x^{4} - 6 x^{3} + 13 x^{2} - 12 x + 4

= \frac{- 4 x + 6}{x ^{4} - 6 x ^{3} + 13 x ^{2} - 12 x + 4}

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

e x p an d 2 (ln (- 1) + 1)

e x p an d (5 + 11 x) x^{4} e^{11 x} + 3

e x p an d (3, 1) y (4, - 11)

e x p an d (1 - cos (x))^{2} + (sin (x))^{2}