<span>cos5xcos4x = cos7xcos6x _____ </span><span>можно записать и так</span>
(cos(5x-4x) + cos(5x+4x))/2 = (cos(7x-6x) + cos(7x+6x))/2 _____ по формуле для произведения функций
cos(x) + cos(9x) = cos(x) + cos(13x)
cos(13x) = cos(9x)
13x = 9x + 2пK _____ 13x = п - 9x + 2пN
4x = 2пK _____ 22x = п(2N+1)
x = Kп/2 _____ x = (2N+1)п/22
N,K принадлежат Z
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4n²-p²=(2n)²-p²=(2n-p)(2n+p)
8n+4p=4(2n+p)
(4n²-p²)/(4(2n+p))=(2n-p)(2n+p)/4(2n+p)=(2n-p)/4
О т в е т. (2n-p)/4
<span>3aa^4+3aa^3-5a^2 a^3-5a^2a=3a^5+3a^4-5a^5-5a^3=-2a^5+3a^4-5a^3</span>