x^2y^2+1-x^2-y^ 因式分解
问题描述:
x^2y^2+1-x^2-y^ 因式分解
答
x^2y^2+1-x^2-y^
=(x^2y^2-y^2 )+(1-x^2)
=y^2(x^2-1)-(x^2-1)
=(x^2-1)(y^2-1)
=(x+1)(x-1)(y+1)(y-1)