学帮网因式分解 (x2-5x+4)(x2-x-2)-72
来源：学生作业学帮网 编辑：学帮网 时间：2024/05/28 15:42:48
因式分解 (x2-5x+4)(x2-x-2)-72
(X2-5x+4)(x2-X-2)-72
=(x-1)(x-4)(x-2)(x+1)-72
=(x-1)(x-2)(x-4)(x+1)-72
=(x2-3x+2)(x2-3x-4)-72
=(x2-3x)2-2(x2-3x)-8-72
=(x2-3x)2-2(x2-3x)-80
=(x2-3x-10)(x2-3x+8)
=(x-5)(x+2)(x2-3x+8)
(x^2-5x+4)(x^2-x-2)-72
=(x-1)(x-4)(x+1)(x-2)-72
=(x^2-3x-4)(x^2-3x+2)-72
=(x^2-3x)^2-2(x^2-3x)-80
=(x^2-3x-10)(x^2-3x+8)
=(x-5)(x+2)(x^2-3x+8)