erweitern 3x^2(4xe^3-2x^2+7x-4)

Lösung

erweitern

3 x^{2} (4 x e^{3} - 2 x^{2} + 7 x - 4)

12 e^{3} x^{3} - 6 x^{4} + 21 x^{3} - 12 x^{2}

Schritte zur Lösung

3 x^{2} (4 x e^{3} - 2 x^{2} + 7 x - 4)

= 3 x^{2} (4 e^{3} x - 2 x^{2} + 7 x - 4)

Setze Klammern

= 3 x^{2} \cdot 4 x e^{3} + 3 x^{2} (- 2 x^{2}) + 3 x^{2} \cdot 7 x + 3 x^{2} (- 4)

Wende Minus-Plus Regeln an

+ (- a) = - a

= 3 \cdot 4 e^{3} x^{2} x - 3 \cdot 2 x^{2} x^{2} + 3 \cdot 7 x^{2} x - 3 \cdot 4 x^{2}

Vereinfache

3 \cdot 4 e^{3} x^{2} x - 3 \cdot 2 x^{2} x^{2} + 3 \cdot 7 x^{2} x - 3 \cdot 4 x^{2} : 12 e^{3} x^{3} - 6 x^{4} + 21 x^{3} - 12 x^{2}

= 12 e^{3} x^{3} - 6 x^{4} + 21 x^{3} - 12 x^{2}

e x p an d \frac{sin ( x )}{x ( 2 x - 1 )}

e x p an d \frac{5}{( x - 3 ) ^{2}}

e x p an d \frac{( 3 i + 1.74 j ) m}{s ^{2}}

e x p an d \frac{( 5 x + 4 ) ( 5 x - 4 )}{25}

e x p an d (x cos (y) - 2 y) d y