sin(2*x)*(3*sin(2*x)-sin(6*x))*sin(2*x) если x=1/4 (упростите выражение)

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin{left (2 x right )} sin{left (2 x right )}$$

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin{left (2 x right )} sin{left (2 x right )}$$

(sin(2*(1/4))*(3*sin(2*(1/4)) – sin(6*(1/4))))*sin(2*(1/4))

$$left(3 sin{left (2 (1/4) right )} – sin{left (6 (1/4) right )}right) sin{left (2 (1/4) right )} sin{left (2 (1/4) right )}$$

(sin(2/4)*(3*sin(2/4) – sin(6/4)))*sin(2/4)

$$left(- sin{left (frac{6}{4} right )} + 3 sin{left (frac{2}{4} right )}right) sin{left (frac{2}{4} right )} sin{left (frac{2}{4} right )}$$

sin(1/2)^2*(-sin(3/2) + 3*sin(1/2))

$$left(- sin{left (frac{3}{2} right )} + 3 sin{left (frac{1}{2} right )}right) sin^{2}{left (frac{1}{2} right )}$$

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin^{2}{left (2 x right )}$$

sin(2*x)^2*(-sin(6*x) + 3.0*sin(2*x))

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin^{2}{left (2 x right )}$$

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin^{2}{left (2 x right )}$$

2
sin (2*x)*(-sin(6*x) + 3*sin(2*x))

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin^{2}{left (2 x right )}$$

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin^{2}{left (2 x right )}$$

5*sin(6*x) sin(10*x) 5*sin(2*x)
– ———- + ——— + ———-
4 4 2

$$frac{5}{2} sin{left (2 x right )} – frac{5}{4} sin{left (6 x right )} + frac{1}{4} sin{left (10 x right )}$$

3 2
3*sin (2*x) – sin (2*x)*sin(6*x)

$$3 sin^{3}{left (2 x right )} – sin^{2}{left (2 x right )} sin{left (6 x right )}$$

5 5
128*cos (x)*sin (x)

$$128 sin^{5}{left (x right )} cos^{5}{left (x right )}$$

2
sin (2*x)*(-sin(6*x) + 3*sin(2*x))

$$left(3 sin{left (2 x right )} – sin{left (6 x right )}right) sin^{2}{left (2 x right )}$$

2 2 / 5 5 3 3
4*cos (x)*sin (x)* – 6*cos (x)*sin(x) – 6*sin (x)*cos(x) + 6*cos(x)*sin(x) + 20*cos (x)*sin (x)/

$$4 left(- 6 sin^{5}{left (x right )} cos{left (x right )} + 20 sin^{3}{left (x right )} cos^{3}{left (x right )} – 6 sin{left (x right )} cos^{5}{left (x right )} + 6 sin{left (x right )} cos{left (x right )}right) sin^{2}{left (x right )} cos^{2}{left (x right )}$$