因式分解：(1)16(x-1)-(x+2)^2 (2)(x-2)(x-4)+1_数学解答

因式分解：
(1)16(x-1)-(x+2)^2
(2)(x-2)(x-4)+1

人气：495 ℃　时间：2020-02-20 21:31:50

解答

16(x-1)-(x+2)^2
=16x-16-x^2-4x-4
=-x^2+12x-20
=-(x^2-12x+20)
=-(x-2)(x-10)
(x-2)(x-4)+1
=x^2-6x+8+1
=x^2-6x+9
=(x-3)^2