因式分解：1.1+a^2-9b^2-2a2.2ax^2-6ax-8a解方程：(a^2-4)(a/a+2-1/a-2-1)(a^2-4)[(a)/(a+2)-(1)/(a-2)-1]

Question

因式分解：1.1+a^2-9b^2-2a
2.2ax^2-6ax-8a
解方程：(a^2-4)(a/a+2-1/a-2-1)
(a^2-4)[(a)/(a+2)-(1)/(a-2)-1]

Answer 1

(1)1+a^2-9b^2-2a=a^2-2a+1-9b^2
=(a-1)^2-(3b)^2
=(a-1+3b)(a-1-3b)
(2)
2ax^2-6ax-8a
=2a(ax^2-3x-4)
=2a(x+1)(x-4)
(3)
(a^2-4)[a/(a+2)-1/(a-2)-1]
=(a+2)(a-2)[a/(a+2)-1/(a-2)-1]
=a(a-2)-(a+2)-(a+2)(a-2)
=a^2-2a-a-2-(a^2-4)
= -3a+2