把下列因式分解,(1)4x^2-(y^2-2y+1) (2)(x^4+4x^2+4)-4y^2

问题描述:

把下列因式分解,(1)4x^2-(y^2-2y+1) (2)(x^4+4x^2+4)-4y^2

(1)4x^2-(y^2-2y+1)
=(2x)²-(y-1)²
=(2x+y-1)(2x-y+1)
(2)(x^4+4x^2+4)-4y^2
=(x²+2)²-(2y)²
=(x²+2y+2)(x²-2y+2)
提示:运用平方差分解