因式分解(1)x²-y²-x+0.25(2)a²-b²-4ac-4bc(3)1-a²+2ab-b²

问题描述:

因式分解(1)x²-y²-x+0.25(2)a²-b²-4ac-4bc(3)1-a²+2ab-b²

(1)
x²-y²-x+0.25
=(x-0.5)²-y²
=(x+y-0.5)(x-y-0.5)
(2)
a²-b²-4ac-4bc
=(a+b)(a-b)-4c(a+b)
=(a+b)(a-b-4c)
(3)
1-a²+2ab-b²
=1-(a-b)²
=(1+a-b)(1-a+b)