因式分解x^4-6x^2y^2+y^4
问题描述:
因式分解x^4-6x^2y^2+y^4
答
原式=(x^4-2x^2y^2+y^4)-4x^2y^2
=(x^2-y^2)^2-(2xy)^2
=(x^2+2xy-y^2)(x^2-2xy-y^2)