444 Решите уравнение: a) (x + 2)(x² - 2x + 4) - x(x - 3)(x + 3) = 26; б) 6(у + 1)² + 2(y - 1)(y² + y + 1) - 2(y + 1)³ = 32; B) (s + 2)3 - s(3s + 1)² + (2s + 1)(4s² - 2s + 1) = 53; г) 52(z - 3)2 - 5(z - 3)(z² + 3z + 9) + 30(z + 2)(z - 2) = 42.

a) \((x + 2)(x^2 - 2x + 4) - x(x - 3)(x + 3) = 26\) \(x^3 + 8 - x(x^2 - 9) = 26\) \(x^3 + 8 - x^3 + 9x = 26\) \(9x = 18\) \(x = 2\)

б) \(6(y + 1)^2 + 2(y - 1)(y^2 + y + 1) - 2(y + 1)^3 = 32\) \(6(y^2 + 2y + 1) + 2(y^3 - 1) - 2(y^3 + 3y^2 + 3y + 1) = 32\) \(6y^2 + 12y + 6 + 2y^3 - 2 - 2y^3 - 6y^2 - 6y - 2 = 32\) \(6y + 2 = 32\) \(6y = 30\) \(y = 5\)

B) \((s + 2)^3 - s(3s + 1)^2 + (2s + 1)(4s^2 - 2s + 1) = 53\) \(s^3 + 6s^2 + 12s + 8 - s(9s^2 + 6s + 1) + 8s^3 - 4s^2 + 2s + 4s^2 - 2s + 1 = 53\) \(s^3 + 6s^2 + 12s + 8 - 9s^3 - 6s^2 - s + 8s^3 + 1 = 53\) \(11s + 9 = 53\) \(11s = 44\) \(s = 4\)

г) \(5z(z - 3)^2 - 5(z - 3)(z^2 + 3z + 9) + 30(z + 2)(z - 2) = 42\) \(5z(z^2 - 6z + 9) - 5(z^3 - 27) + 30(z^2 - 4) = 42\) \(5z^3 - 30z^2 + 45z - 5z^3 + 135 + 30z^2 - 120 = 42\) \(45z + 15 = 42\) \(45z = 27\) \(z = \frac{27}{45} = \frac{3}{5} = 0.6\)