erweitern (9cos(x)-9cos(9x))^2

Lösung

erweitern

(9 cos (x) - 9 cos (9 x))^{2}

81 cos^{2} (x) - 162 cos (x) cos (9 x) + 81 cos^{2} (9 x)

Schritte zur Lösung

(9 cos (x) - 9 cos (9 x))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(9 cos (x) - 9 cos (9 x))^{2} = (9 cos (x))^{2} - 2 \cdot 9 cos (x) \cdot 9 cos (9 x) + (9 cos (9 x))^{2}

= (9 cos (x))^{2} - 2 \cdot 9 cos (x) \cdot 9 cos (9 x) + (9 cos (9 x))^{2}

Vereinfache

(9 cos (x))^{2} - 2 \cdot 9 cos (x) \cdot 9 cos (9 x) + (9 cos (9 x))^{2} : 81 cos^{2} (x) - 162 cos (x) cos (9 x) + 81 cos^{2} (9 x)

= 81 cos^{2} (x) - 162 cos (x) cos (9 x) + 81 cos^{2} (9 x)

e x p an d \frac{( 7 s ^{2} + 23 s + 30 )}{( s - 2 ) ( s ^{2} + 2 s + 5 )}

s im pl i f y - 3 (1 + \frac{i}{n})^{2}

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

e x p an d \frac{( x ^{2} + 14 x + 48 ) ( x + 6 )}{2}

e x p an d \frac{20000 ( 1 - e ^{- s} )}{( s + 100 ) ^{2}}