-4p²n *(-0.6p³n⁴) = ( - 4* (-0.6) ) * p²⁺³ *n¹⁺⁴ = 2.4p⁵n⁵
Числитель
sin(a-b) + sin b*cos a = sin a*cos b - cos a*sin b + sin b*cos a = sin a*cos b
Получается
sin a*cos b / (sin a/cos b) = sin a*cos b*cos b/sin a = cos^2 b
7:
-5а^2b(a^3b+5a-6b^2)
8:
9n^2+8n
(5x^2 +4x -1)/(x^2 -1) = 6|·(x^2 -1) ≠ 0
x^2 ≠ 1
x ≠ +-1
5x^2 +4x -1 = 6( x^2 -1)
5x^2 + 4x -1 = 6x^2 -6
5x^2 +4x - 1 - 6x^2 +6 = 0
-x^2 +4x +5 =0 |·(-1)
x^2 -4x -5 =0
x = 5 x = -1 (посторонний корень)
Ответ х = 5