erweitern 8pix(6x+4)^2

Lösung

erweitern

8 π x (6 x + 4)^{2}

288 π x^{3} + 384 π x^{2} + 128 π x

Schritte zur Lösung

8 π x (6 x + 4)^{2}

(6 x + 4)^{2} = 36 x^{2} + 48 x + 16

= 8 π x (36 x^{2} + 48 x + 16)

Setze Klammern

= 8 π x \cdot 36 x^{2} + 8 π x \cdot 48 x + 8 π x \cdot 16

= 8 \cdot 36 π x^{2} x + 8 \cdot 48 π xx + 8 \cdot 16 π x

Vereinfache

8 \cdot 36 π x^{2} x + 8 \cdot 48 π xx + 8 \cdot 16 π x : 288 π x^{3} + 384 π x^{2} + 128 π x

= 288 π x^{3} + 384 π x^{2} + 128 π x

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

e x p an d \frac{x ^{4} + a x ^{2} + b}{( x - 1 ) ( x - 5 )}

e x p an d (7 e^{t} cos (t) + 7 e^{t} sin (t))^{2}

e x p an d [\frac{2 F}{( S - 1 ) ( S + 1 )}] - \frac{1}{S ^{2}}

e x p an d cos (2) (t - π)