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Beliebt Algebra >

erweitern (x-1)(x+1)sqrt((x^2-1))

Lösung

erweitern

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

Lösung

x^{2} x^{2} - 1 - x^{2} - 1

Schritte zur Lösung

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

Vereinfache

(x^{2} - 1) : x^{2} - 1

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

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

Apply Difference of Two Squares

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

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

x^{2} - 1 (x^{2} - 1) = x^{2} - 1 x^{2} - x^{2} - 1 \cdot 1

= x^{2} - 1 x^{2} - x^{2} - 1 \cdot 1

Vereinfache

x^{2} - 1 x^{2} - x^{2} - 1 \cdot 1 : x^{2} x^{2} - 1 - x^{2} - 1

= x^{2} x^{2} - 1 - x^{2} - 1

Beliebte Beispiele

derivative of (c(200+(50)/x+(x^2)/5))

\frac{d}{d x} ((c) (200 + \frac{50}{x} + \frac{x ^{2}}{5}))

erweitern-1/5 (2x^2+x-12)^5+C

e x p an d - \frac{1}{5} (2 x^{2} + x - 12)^{5} + C

erweitern ((4x^4+9x^3+42x^2+51x+36))/(3x(x^2+6)^2)

e x p an d \frac{( 4 x ^{4} + 9 x ^{3} + 42 x ^{2} + 51 x + 36 )}{3 x ( x ^{2} + 6 ) ^{2}}

d/(dt)((x)(x-1)(1-2x))

\frac{d}{d t} ((x) (x - 1) (1 - 2 x))

erweitern 3^{(-x-1)}

e x p an d 3^{(- x - 1)}