化简 4(4cos(4x)-sin(x)+(-4)sin(4x)cos(x))

解答

化简

4 (4 cos (4 x) - sin (x) + (- 4) sin (4 x) cos (x))

16 cos (4 x) - 4 sin (x) - 16 cos (x) sin (4 x)

求解步骤

4 (4 cos (4 x) - sin (x) + (- 4) sin (4 x) cos (x))

使用法则:

(- a) = - a

(- 4) = - 4

= 4 (4 cos (4 x) - sin (x) - 4 sin (4 x) cos (x))

展开

4 (4 cos (4 x) - sin (x) - 4 sin (4 x) cos (x)) : 16 cos (4 x) - 4 sin (x) - 16 cos (x) sin (4 x)

= 16 cos (4 x) - 4 sin (x) - 16 cos (x) sin (4 x)

e x p an d (1, - 2) y (0, 2)

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

e x p an d 7 (x - 2 = 5 (x + 4))

e x p an d \frac{( 2 + x ) ^{2} ( x - 6 )}{32 x ^{4}}

s im pl i f y (3 x^{2} + 4 3 x) (16)