8n^2(mn-3)-7(mn-3)=(8n^2-7)(mn-3)
(5m^2n+10m^2)-(6an+3an^2)=(5m^2(n+2))-(3an(2+n))=(5m^2-3an)(n+2)
Решение
<span>sin 12° - sin 78° = 2sin(12</span>° - 78°)/2*cos(12° + 78°)/2 = 2sin(- 66°)cos90° = 0
5Х-7У при x= 1/5, У= 2/21
<span>5*(1/5)-7*(2/21)=1-2/3=1\3</span>
(3^-3*3^7):27^2=(3^(-3+7)):3^6=3^4:3^6=3^(4-6)=3^-2=1/9
2Sin(7π/2 - х) Sinx = Cosx (7π/2 ; 5π)
-2CosxSinx -Cosx = 0
Cosx(2Sinx +1) = 0
Cosx = 0 или 2Sinx + 1 = 0
x = π/2 + πk , k ∈ Z Sinx = -1/2
х = (-1)ⁿ⁺¹π/6 + nπ, n ∈ Z
В указанный промежуток попадают числа : π/2 и 20π/6