(6a^2+5x)^2=36a^10+60a^5+25x^2
(10m^5+6m^2n^3)^2=100m^10+120m^7n^3+36m^4n^6
1 - sin(α/2 - 3π) - cos²α/4 + sin²α/4 = sin²α/4 + cos²α/4 + sin(3π - α/2) - cos²α/4 + sin²α/4 = 2·sin²α/4 + sin α/2 = 2sin²α/4 + 2·sin α/4·cos α/4 = 2·sin α/4·(sin α/4 + cos α/4)
cos²(π + α/4)(1 + tg²(3α/4 - 3π/2))/(sin⁻¹(9π/2 + α/2)(tg²(5π/2 - α/4) - tg²(3α/4 - 7π/2))) = cos²α/4·(1 + ctg²3α/4)·cos α/2/(ctg²α/4 - ctg²3α/4) = cos²α/4·cos α/2/(sin²3α/4·(1/sin²α/4 - 1 - (1/sin²3α/4 - 1))) = cos²α/4·cos α/2/(sin²3α/4·(1/sin²α/4 - 1/sin²3α/4)) = cos²α/4·cos α/2/(sin²3α/4 / sin²α/4 - 1) = sin²α/4·cos²α/4·cos α/2/(sin²3α/4 - sin²α/4) = sin²α/4·cos²α/4·cos α/2/((sin 3α/4 - sin α/4)(sin 3α/4 + sin α/4)) = sin²α/4·cos²α/4·cos α/2/(2·sinα/4·cos α/2·2·sin α/2·cos α/4) = sin α/4·cos α/4 / (4·sin α/2) = sin α/4·cos α/4 / (8·sin α/4·cos α/4) = 1/8
<span>xdy=2y(x+1)
dy / y=2(1+1/x)dx
lny =2x+2lnx + lnC
y=e^(2x+2lnx)*C
y = C*e^(2x)*x^2</span>
Решение задания смотри на фотографии
Общий знаменатель 6 ; 6 * 6 - 3 * ( X - 1 ) = 3 * ( 3 - X ) + 2 * ( X - 2 ) ; 36 - 3X + 3 = 9 - 3X + 2X - 4 ; 39 - 3X = 5 - X ; 2X = 34 ; X = 34 : 2 ; X = 17
