Вопрос по математике:

1. Преобразуйте в многочлен: а) 5y(3y – 2) – (y – 1)(y + 1); в) 6(c + d)2 – 12cd. б) (d – 8)(d + 4) + (d – 5)2; 2. Разложите

1.а) 5y(3y – 2) – (y – 1)(y + 1) = 15y^2 - 10y - y^2 + 1 = 14y^2 - 10y + 1;в) 6(c + d)^2 – 12cd = 6(c^2 + 2cd + d^2) - 12cd = 6c^2 +12cd + 6d^2 - 12cd = 6c^2 + 6d^2;б) (d – 8)(d + 4) + (d – 5)^2 = d^2 + 4d - 8d - 32 + d^2 - 10d + 25 = 2d^2 - 14d - 7;2.а) b^3 – 36b = b(b^2 - 36) = b(b - 6)(b + 6);б) –2а^2 + 8ab – 8b^2 = -2(a^2 - 4ab + 4b^2) = -2(a-2b)^2.3.(b + 3)^2(b – 3) + 3(b + 3)(b – 3) = (b + 3) (b - 3) ((b + 3) + 3) = (b^2 - 3^2) (b + 3 + 3) = (b^2 - 3^2) (b + 6) = ((-2,4)^2 - 3^2) (-2,4 + 6) = (5,76 - 9) 3,6 = - 11,664.4.а) (у – 3)^2 – 16у^2 = (y - 3 - 4y)(y - 3 + 4y) = (-3y - 3) (5y -3) = -3(y + 1)(5y - 3);б) x^2 – y^2 – y – x = (x + y) (x - y) -y - x = (x + y)(x - y) - (y + x) = (y + x) (x - y -1).5. a^4 – 1 = (a – 1)(a3 + a2 + a + 1).(a – 1)(a^3 + a^2 + a + 1) = a * a^3 + a * a^2 + a * a + a * 1 - a^3 - a^2 - a - 1 = a^4 + a^3 + a^2 + a - a^3 - a^2 - a - 1 = a^4 - 1.