vereinfachen (4sqrt(x)-3)(\sqrt[3]{x}+5x^2+2)

Lösung

vereinfachen

(4 x - 3) (3 x + 5 x^{2} + 2)

4 6 x^{5} + 20 x^{5} + 8 x - 3 3 x - 15 x^{2} - 6

Schritte zur Lösung

(4 x - 3) (3 x + 5 x^{2} + 2)

Setze Klammern

= 4 x 3 x + 4 x \cdot 5 x^{2} + 4 x \cdot 2 - 3 3 x - 3 \cdot 5 x^{2} - 3 \cdot 2

Vereinfache

4 x 3 x + 4 x \cdot 5 x^{2} + 4 x \cdot 2 - 3 3 x - 3 \cdot 5 x^{2} - 3 \cdot 2 : 4 x^{\frac{5}{6}} + 20 x^{\frac{5}{2}} + 8 x - 3 3 x - 15 x^{2} - 6

= 4 x^{\frac{5}{6}} + 20 x^{\frac{5}{2}} + 8 x - 3 3 x - 15 x^{2} - 6

x^{\frac{5}{6}} = 6 x^{5}

= 4 6 x^{5} + 20 x^{5} + 8 x - 3 3 x - 15 x^{2} - 6

x^{\frac{5}{2}} = x^{5}

= 4 6 x^{5} + 20 x^{5} + 8 x - 3 3 x - 15 x^{2} - 6

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

s im pl i f y (a + x) (- 2 a - x)

e x p an d 2.874 \cdot (1 + \frac{1}{0.5236 \cdot s} + 0.1309)

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

e x p an d \frac{6 x - 7}{3 ( 3 x ^{2} - 7 x + 1 ) ^{\frac{2}{3}}}