erweitern (csc(3x)-cot(3x))^2

Lösung

erweitern

(csc (3 x) - cot (3 x))^{2}

csc^{2} (3 x) - 2 cot (3 x) csc (3 x) + cot^{2} (3 x)

Schritte zur Lösung

(csc (3 x) - cot (3 x))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(csc (3 x) - cot (3 x))^{2} = csc^{2} (3 x) - 2 csc (3 x) cot (3 x) + cot^{2} (3 x)

= csc^{2} (3 x) - 2 csc (3 x) cot (3 x) + cot^{2} (3 x)

= csc^{2} (3 x) - 2 cot (3 x) csc (3 x) + cot^{2} (3 x)

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

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

e x p an d 1 - 2 (x + h) - 1 - 2 x

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

e x p an d \frac{( s + 1 )}{[ ( s + 3 ) ( s + 5 ) ]}