erweitern 3sin^2(2x-3x^2+1)cos(2x-3x^2+1)(-6x+2)

Lösung

erweitern

3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) (- 6 x + 2)

- 18 x sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) + 6 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1)

Schritte zur Lösung

3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) (- 6 x + 2)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) (- 6 x + 2) = 3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) (- 6 x) + 3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) \cdot 2

= 3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) (- 6 x) + 3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) \cdot 2

Vereinfache

3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) (- 6 x) + 3 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) \cdot 2 : - 18 x sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) + 6 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1)

= - 18 x sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1) + 6 sin^{2} (2 x - 3 x^{2} + 1) cos (2 x - 3 x^{2} + 1)

s im pl i f y (7 a - y)^{2}

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

e x p an d 23 (y - \frac{3}{5})

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

e x p an d \frac{3 ( - 2 x ^{2} + 24 x )}{( 5 x ^{2} - 2 x + 12 ) ^{2}}