erweitern-((x-2)(x+8))/(21)

Lösung

erweitern

- \frac{( x - 2 ) ( x + 8 )}{21}

- \frac{x ^{2}}{21} - \frac{2 x}{7} + \frac{16}{21}

Schritte zur Lösung

- \frac{( x - 2 ) ( x + 8 )}{21}

Multipliziere aus

(x - 2) (x + 8) : x^{2} + 6 x - 16

= - \frac{x ^{2} + 6 x - 16}{21}

Wende Bruchregel an:

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

\frac{x ^{2} + 6 x - 16}{21} = - (\frac{x ^{2}}{21}) - (\frac{6 x}{21}) - (- \frac{16}{21})

= - (\frac{x ^{2}}{21}) - (\frac{6 x}{21}) - (- \frac{16}{21})

Entferne die Klammern:

(a) = a, - (- a) = a

= - \frac{x ^{2}}{21} - \frac{6 x}{21} + \frac{16}{21}

Streiche

\frac{6 x}{21} : \frac{2 x}{7}

= - \frac{x ^{2}}{21} - \frac{2 x}{7} + \frac{16}{21}

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

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

e x p an d c u r l (3 x z, - 7 y, 2 x z^{2})

e x p an d \frac{x ( 8 - z ) ^{2}}{2}

\frac{d}{d y} ((x (y)) (y^{2} - 1))