因式分解:(X²-2y)²-(1-2y)²

问题描述:

因式分解:(X²-2y)²-(1-2y)²

(X²-2y)²-(1-2y)²
=(x^2-2y+1-2y)(x^2-2y-1+2y)
=(x^2-4y+1)(x^2-1)
=(x^2-4y+1)(x+1)(x-1)

(X²-2y)²-(1-2y)²
=(x²-2y+1-2y)(x²-2y-1+2y)
=(x²-4y+1)(x²-1)
=(x²-4y+1)(x+1)(x-1)