Разложить на множители: а) (х-5)^2-16 б) (в+7)^2-9 в) 25-(3-х)^2 г) 81-(а+7)^2 д) (7х-4)^2-(2х+1)^2 е) (n-2)^2-(3n+1)^2

а) (х-5)^2-16 = (х-5+4)(х-5-4) = (х-1)(х-9) б) (в+7)^2-9 = (в+7+3)(в+7-3) = (в+10)(в+4) в) 25-(3-х)^2 = 25-(3-х)(3-х) = 25-(9-6х+х^2) = 25-9+6х-х^2 = -х^2+6х+16 г) 81-(а+7)^2 = 81-(а+7)(а+7) = 81-(а^2+14а+49) = 81-а^2-14а-49 = -а^2-14а+32 д) (7х-4)^2-(2х+1)^2 = (7х-4+2х+1)(7х-4-2х-1) = (9х-3)(5х-5) = 45х^2-45х-15х+15 = 45х^2-60х+15 е) (n-2)^2-(3n+1)^2 = (n-2+3n+1)(n-2-3n-1) = (4n-1)(-2n-3) = -8n^2-12n-4n+6 = -8n^2-16n+6