erweitern pi(2-x)^3

Lösung

erweitern

π (2 - x)^{3}

- π x^{3} + 6 π x^{2} - 12 π x + 8 π

Schritte zur Lösung

π (2 - x)^{3}

(2 - x)^{3} = 8 - 12 x + 6 x^{2} - x^{3}

= π (- x^{3} + 6 x^{2} - 12 x + 8)

Setze Klammern

= π 8 + π (- 12 x) + π 6 x^{2} + π (- x^{3})

Wende Minus-Plus Regeln an

+ (- a) = - a

= 8 π - 12 π x + 6 π x^{2} - π x^{3}

Rewrite in standard form

= - π x^{3} + 6 π x^{2} - 12 π x + 8 π

e x p an d x^{2} x - x^{4} + \frac{x ^{\frac{3}{2}} - x ^{6}}{3}

e x p an d \frac{10 ( 150 + 26315 )}{327}

e x p an d (lo g_{3} (n) + 1) (2^{l o g_{3} (n)} - 1)

e x p an d \frac{( 7 - 21 ln ( 7 x - 3 ) )}{( 7 x - 3 ) ^{4}}

e x p an d \frac{12}{3}