27*sin(x)^25*(-sin(x)^2+26*cos(x)^2) если x=1/4 (упростите выражение)

$$left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) 27 sin^{25}{left (x right )}$$

$$left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) 27 sin^{25}{left (x right )}$$

(27*sin((1/4))^25)*(-sin((1/4))^2 + 26*cos((1/4))^2)

$$left(- sin^{2}{left ((1/4) right )} + 26 cos^{2}{left ((1/4) right )}right) 27 sin^{25}{left ((1/4) right )}$$

(27*sin(1/4)^25)*(-sin(1/4)^2 + 26*cos(1/4)^2)

$$left(- sin^{2}{left (frac{1}{4} right )} + 26 cos^{2}{left (frac{1}{4} right )}right) 27 sin^{25}{left (frac{1}{4} right )}$$

27*sin(1/4)^25*(-sin(1/4)^2 + 26*cos(1/4)^2)

$$27 left(- sin^{2}{left (frac{1}{4} right )} + 26 cos^{2}{left (frac{1}{4} right )}right) sin^{25}{left (frac{1}{4} right )}$$

$$left(- 27 sin^{2}{left (x right )} + 702 cos^{2}{left (x right )}right) sin^{25}{left (x right )}$$

25 / 2 2
27*sin (x)* – sin (x) + 26*cos (x)/

$$27 left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) sin^{25}{left (x right )}$$

27.0*sin(x)^25*(-sin(x)^2 + 26.0*cos(x)^2)

$$27 left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) sin^{25}{left (x right )}$$

$$27 left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) sin^{25}{left (x right )}$$

25 / 2
sin (x)*702 – 729*sin (x)/

$$left(- 729 sin^{2}{left (x right )} + 702right) sin^{25}{left (x right )}$$

$$- frac{5014575}{16777216} sin{left (x right )} + frac{39113685}{16777216} sin{left (3 x right )} – frac{325947375}{67108864} sin{left (5 x right )} + frac{413377965}{67108864} sin{left (7 x right )} – frac{379632825}{67108864} sin{left (9 x right )} + frac{268629075}{67108864} sin{left (11 x right )} – frac{75038535}{33554432} sin{left (13 x right )} + frac{33301125}{33554432} sin{left (15 x right )} – frac{11665485}{33554432} sin{left (17 x right )} + frac{3167775}{33554432} sin{left (19 x right )} – frac{1289925}{67108864} sin{left (21 x right )} + frac{185679}{67108864} sin{left (23 x right )} – frac{16875}{67108864} sin{left (25 x right )} + frac{729}{67108864} sin{left (27 x right )}$$

25 / 2 2
27*sin (x)* – sin (x) + 26*cos (x)/

$$27 left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) sin^{25}{left (x right )}$$

27 2 25
– 27*sin (x) + 702*cos (x)*sin (x)

$$- 27 sin^{27}{left (x right )} + 702 sin^{25}{left (x right )} cos^{2}{left (x right )}$$

25 / 2
27*sin (x)*26 – 27*sin (x)/

$$27 left(- 27 sin^{2}{left (x right )} + 26right) sin^{25}{left (x right )}$$

25 / 2 2
27*sin (x)* – sin (x) + 26*cos (x)/

$$27 left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) sin^{25}{left (x right )}$$

25 / 2 2
27*sin (x)* – sin (x) + 26*cos (x)/

$$27 left(- sin^{2}{left (x right )} + 26 cos^{2}{left (x right )}right) sin^{25}{left (x right )}$$