因式分解64x^2y^2-(x^2+16y^2)^2
问题描述:
因式分解64x^2y^2-(x^2+16y^2)^2
答
64x^2y^2-(x^2+16y^2)^2
=[8xy+(x^2+16y^2)][8xy-(x^2+16y^2)]
=-(x^2+8xy+16y^2)(x^2-8xy+16y^2)
=-(x+4y)^2*(x-4y)^2