erweitern-(15(x-12)(x-14)(x-18))/(32)

Lösung

erweitern

- \frac{15 ( x - 12 ) ( x - 14 ) ( x - 18 )}{32}

- \frac{15 x ^{3}}{32} + \frac{165 x ^{2}}{8} - \frac{2385 x}{8} + \frac{2835}{2}

Schritte zur Lösung

- \frac{15 ( x - 12 ) ( x - 14 ) ( x - 18 )}{32}

Multipliziere aus

15 (x - 12) (x - 14) (x - 18) : 15 x^{3} - 660 x^{2} + 9540 x - 45360

= - \frac{15 x ^{3} - 660 x ^{2} + 9540 x - 45360}{32}

Wende Bruchregel an:

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

\frac{15 x ^{3} - 660 x ^{2} + 9540 x - 45360}{32} = - (\frac{15 x ^{3}}{32}) - (- \frac{660 x ^{2}}{32}) - (\frac{9540 x}{32}) - (- \frac{45360}{32})

= - (\frac{15 x ^{3}}{32}) - (- \frac{660 x ^{2}}{32}) - (\frac{9540 x}{32}) - (- \frac{45360}{32})

Entferne die Klammern:

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

= - \frac{15 x ^{3}}{32} + \frac{660 x ^{2}}{32} - \frac{9540 x}{32} + \frac{45360}{32}

Streiche

\frac{660 x ^{2}}{32} : \frac{165 x ^{2}}{8}

= - \frac{15 x ^{3}}{32} + \frac{165 x ^{2}}{8} - \frac{9540 x}{32} + \frac{45360}{32}

Streiche

\frac{9540 x}{32} : \frac{2385 x}{8}

= - \frac{15 x ^{3}}{32} + \frac{165 x ^{2}}{8} - \frac{2385 x}{8} + \frac{45360}{32}

Streiche

\frac{45360}{32} : \frac{2835}{2}

= - \frac{15 x ^{3}}{32} + \frac{165 x ^{2}}{8} - \frac{2385 x}{8} + \frac{2835}{2}

e x p an d \frac{6 s ^{4} - 144 s ^{2} + 96}{( s ^{2} + 4 ) ^{3}}

e x p an d \frac{0.484 \cdot ( s + 27.53 )}{s}

e x p an d \frac{2 ( 3 2 + 2 ) 3 - 2}{7}

e x p an d (2 - e^{2 x})^{2}

e x p an d (2 x^{2} - 9 x + 2) - (9 x^{2} - 4 x = 4)