The function f (x) holds for all real numbers x and y, f (x + y) - f (y) = (x + 2Y + 1) x, and f (1) = 0, (1) find the value of F (0); (2) when 0 ≤ x ≤ 12, f (x) + 3 ＜ 2x + a holds, find the value range of real number a

The function f (x) holds for all real numbers x and y, f (x + y) - f (y) = (x + 2Y + 1) x, and f (1) = 0, (1) find the value of F (0); (2) when 0 ≤ x ≤ 12, f (x) + 3 ＜ 2x + a holds, find the value range of real number a

(I) ∵ function f (x) & nbsp; holds for all real numbers x and y, f (x + y) - f (y) = x (x + 2Y + 1) ∵ let x = 1, y = 0, f (1 + 0) - f (0) = 1 × (1 + 2 × 0 + 1) ∵ f (0) = - 2. (2) let & nbsp; y = 0, we can get & nbsp; & nbsp; f (x) = x2 + X-2, when 0 ≤ x ≤ 12, f (x) ∵ function f (x) ∵ function f (x) ∵ holds for all real numbers x and y