erweitern (x-pi)*(x^2+2)

Lösung

erweitern

(x - π) \cdot (x^{2} + 2)

x^{3} - π x^{2} + 2 x - 2 π

Schritte zur Lösung

(x - π) (x^{2} + 2)

Wende Ausklammerungsregel an (VANI):

(a + b) (c + d) = a c + a d + b c + b d

a = x, b = - π, c = x^{2}, d = 2

= x x^{2} + x \cdot 2 + (- π) x^{2} + (- π) \cdot 2

Wende Minus-Plus Regeln an

+ (- a) = - a

= x^{2} x + 2 x - π x^{2} - 2 π

Vereinfache

x^{2} x + 2 x - π x^{2} - 2 π : x^{3} - π x^{2} + 2 x - 2 π

= x^{3} - π x^{2} + 2 x - 2 π

e x p an d x (x - 6 x)

e x p an d e^{- x} (1 + x) \frac{d y}{d x} - e^{- x} x y

e x p an d 16 n (2 k)^{4} - 32 (2 k)^{3} + 24 (2 k)^{2} - 8 (2 k)

e x p an d \frac{5 x + 10 - 4 x ^{2}}{x ^{2} ( x + 2 )}

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