分解因式 (1+y)²-2x²(1-y²)+x的4次方(1-y)²
问题描述:
分解因式 (1+y)²-2x²(1-y²)+x的4次方(1-y)²
答
(1+y)²-2x²(1-y²)+x的4次方(1-y)²
=(1+y)^2-2[(x^2)(1-y)](1+y)+[(x^2)(1-y)]^2
=[(1+y)-(x^2)(1-y)]^2
=[(x^2)y-x^2+y+1]^2