erweitern (2x^{5/3}+3)^2

Lösung

erweitern

(2 x^{\frac{5}{3}} + 3)^{2}

4 x^{\frac{10}{3}} + 12 x^{\frac{5}{3}} + 9

Schritte zur Lösung

(2 x^{\frac{5}{3}} + 3)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 x^{\frac{5}{3}} + 3)^{2} = (2 x^{\frac{5}{3}})^{2} + 2 \cdot 2 x^{\frac{5}{3}} \cdot 3 + 3^{2}

= (2 x^{\frac{5}{3}})^{2} + 2 \cdot 2 x^{\frac{5}{3}} \cdot 3 + 3^{2}

(2 x^{\frac{5}{3}})^{2} = 4 x^{\frac{10}{3}}

2 \cdot 2 x^{\frac{5}{3}} \cdot 3 = 12 x^{\frac{5}{3}}

3^{2} = 9

= 4 x^{\frac{10}{3}} + 12 x^{\frac{5}{3}} + 9

e x p an d \frac{1}{( ( s ^{2} + 16 ) ^{2} )}

s im pl i f y 7 (cos (x) + 7)

e x p an d \frac{( e ^{2} + 1 ) π}{2}

s im pl i f y (x - 5 + 8)^{2}

e x p an d \frac{1}{( x ^{3} - 2 x ^{2} + 7 ) ^{4}}