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

Lösung

erweitern

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

x^{2} - 1 - \frac{2}{x ^{2}}

Schritte zur Lösung

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

Multipliziere aus

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

= \frac{x ^{4} - x ^{2} - 2}{x ^{2}}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{4} - x ^{2} - 2}{x ^{2}} = \frac{x ^{4}}{x ^{2}} - \frac{x ^{2}}{x ^{2}} - \frac{2}{x ^{2}}

= \frac{x ^{4}}{x ^{2}} - \frac{x ^{2}}{x ^{2}} - \frac{2}{x ^{2}}

Wende Regel an

\frac{a}{a} = 1

\frac{x ^{2}}{x ^{2}} = 1

= \frac{x ^{4}}{x ^{2}} - 1 - \frac{2}{x ^{2}}

Streiche

\frac{x ^{4}}{x ^{2}} : x^{2}

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

e x p an d P (- 1, - 4) y Q (3, 2)

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

e x p an d (e^{x} + e^{- x}) (- e^{- x} - e^{x})

e x p an d (2 x - 1) d y

e x p an d lo g_{7} (9 \frac{a ^{8} b}{49})