erweitern (sin^2((x+2)(x-2)))/((x+2)(x-2))

Lösung

erweitern

\frac{sin ^{2} ( ( x + 2 ) ( x - 2 ) )}{( x + 2 ) ( x - 2 )}

\frac{sin ^{2} ( x ^{2} - 4 )}{x ^{2} - 4}

Schritte zur Lösung

\frac{sin ^{2} ( ( x + 2 ) ( x - 2 ) )}{( x + 2 ) ( x - 2 )}

sin^{2} ((x + 2) (x - 2)) = sin^{2} (x^{2} - 4)

= \frac{sin ^{2} ( x ^{2} - 4 )}{( x + 2 ) ( x - 2 )}

Multipliziere aus

(x + 2) (x - 2) : x^{2} - 4

= \frac{sin ^{2} ( x ^{2} - 4 )}{x ^{2} - 4}

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

e x p an d (1 + sin (x)) (1 - cos (x))

s im pl i f y sec^{2} (\frac{x}{2}) + 3 (x - 10)^{2} + \frac{2}{x ^{4}}

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

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