erweitern-2xsin(x^2)(1-sin(x^2))

Lösung

erweitern

- 2 x sin (x^{2}) (1 - sin (x^{2}))

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

Schritte zur Lösung

- 2 x sin (x^{2}) (1 - sin (x^{2}))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

- 2 x sin (x^{2}) (1 - sin (x^{2})) = - 2 x sin (x^{2}) \cdot 1 - (- 2 x sin (x^{2})) sin (x^{2})

= - 2 x sin (x^{2}) \cdot 1 - (- 2 x sin (x^{2})) sin (x^{2})

Vereinfache

- 2 x sin (x^{2}) \cdot 1 - (- 2 x sin (x^{2})) sin (x^{2}) : - 2 x sin (x^{2}) + 2 x sin^{2} (x^{2})

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

e x p an d \frac{- ( m - 3 ) ^{2} - 5}{4 ( m - 3 ) + 3}

e x p an d (- 40) l e f t (\frac{45}{80}, \frac{45}{49}, - \frac{45}{4})

e x p an d \frac{5}{3} + \frac{1}{2} x

e x p an d \frac{3 ( 2 x ^{5} - x y ^{2} + 2 )}{x ^{3}}

e x p an d (6 cos (2 x) + 3 sin (3 x) + c)^{2}