Sin8a*(sin10a+sin6a)-sin4a*sin2a=sin8a*2sin8acos2a-sin4asin2a=
=2sin²8acos2a-2sin²2acos2a=2cos2a*(sin²8a-sin²2a)=
=2cos2a*[(1-cos16a)/2-(1-cos4a)/2]=2cos2a*1/2(1-cos16a+1-cos4a)=
=cos2a(2-(cos16a+cos4a))=cos2a*(2-2cos10acos6a)=
=2cos2a*(1-cos10acos6a)
(1/2 - 1/3)^3 : (1/3 - 1/4)^2 * (3/2)^2 = 1 целая 1/2
1) 1/2 - 1/3 = 3/6 - 2/6 = 1/6
2) (1/6)^3 = 1/6 * 1/6 * 1/6 = 1/216
3) 1/3 - 1/4 = 4/12 - 3/12 = 1/12
4) (1/12)^2 = 1/12 * 1/12 = 1/144
5) (3/2)^2 = 3/2 * 3/2 = 9/4
6) 1/216 : 1/144 = 1/216 * 144/1 =144/216 = 2/3
7) 2/3 * 9/4 = (1*3)/(1*2) = 3/2 = 1 целая 1/2 = 1,5
1. 5243,3-1038,43=4204,87
2. 5243,3+4204,87=9448,17
3. 9448,17-6328=3120,17
4. 5243,3+4204,87+3120,17=12568,34