初一高级因式分解题分解因式：1、(x-1)^24(x-1)y+4y^22、(1+y)^2-2x^2(1-y^2)+x^4(1-y)^2

Question

初一高级因式分解题
分解因式：
1、(x-1)^24(x-1)y+4y^2
2、(1+y)^2-2x^2(1-y^2)+x^4(1-y)^2

Answer 1

(x-1)²+4(x-1)y+4y²
=[(x-1)+2y]²
=(x+2y-1)²
(1+y)²-2x²(1-y²)+x^4(1-y)²
=(1+y)²-2x²(1+y)(1-y)+x^4(1-y)²
=[(1+y)-x²(1-y)]²
=(1+y-x²+x²y)²
=(x²y-x²+y+1)²