✔ 最佳答案
(1)(x^2-y^2)^2-8(x^2+y^2)+16
=(x^2-y^2)^2-8(x^2-y^2+2y^2)+16
=(x^2-y^2)^2-8(x^2-y^2)-16y^2+16
=(x^2-y^2)^2-8(x^2-y^2)+16-16y^2
=(x^2-y^2-4)^2-(4y)^2
=(x^2-y^2-4y-4)(x^2-y^2+4y-4)
=[x^2-(y+2)^2]*[x^2-(y-2)^2]
=(x-y-2)(x+y+2)(x-y+2)(x+y-2)
(2)(2x+1)(x^2-x+3)+2x(x-6)
=(2x^3-2x^2+6x+x^2-x+3)+(2x^2-12x)
=2x^3+x^2-7x+3
=(2x^3-x^2)+(2x^2-x)+(-6x+3)
=x^2(2x-1)+x(2x-1)-3(2x-1)
=(x^2+x-3)(2x-1)