a) \[ (8a + b)(b - 8a) = 8ab - 64a^2 + b^2 - 8ab = b^2 - 64a^2 \]
б) \[ (2a + 3b^3)(3b^3 - 2a) = 6ab^3 - 4a^2 + 9b^6 - 6ab^3 = 9b^6 - 4a^2 \]
в) \[ (5c + 2a)(5c - 2a) = 25c^2 - 10ac + 10ac - 4a^2 = 25c^2 - 4a^2 \]
г) \[ (c - p)(c + p) = c^2 + cp - cp - p^2 = c^2 - p^2 \]
д) \[ (4a - b)(b + 4a) = 4ab + 16a^2 - b^2 - 4ab = 16a^2 - b^2 \]
а) \[ (3x + 5)(4x - 1) - 25 = 12x^2 - 3x + 20x - 5 - 25 = 12x^2 + 17x - 30 \]
б) \[ (6x - 3)(2x + 4) = 12x^2 + 24x - 6x - 12 = 12x^2 + 18x - 12 \]
в) \[ (15a + 3)(-5a - 4) = -75a^2 - 60a - 15a - 12 = -75a^2 - 75a - 12 \]
а) \[ 3(y + 5) - 2(y - 6) = 3y + 15 - 2y + 12 = y + 27 \]
б) \[ 2a(a - b) + 2b(a + b) = 2a^2 - 2ab + 2ab + 2b^2 = 2a^2 + 2b^2 \]
в) \[ 11(3b - 1) - 6(12b - 1) = 33b - 11 - 72b + 6 = -39b - 5 \]
Ответ: См. решение выше