因式分解 (x^2+5x+6)(x^2-3x+2)-32
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/30 14:04:14
因式分解 (x^2+5x+6)(x^2-3x+2)-32
![因式分解 (x^2+5x+6)(x^2-3x+2)-32](/uploads/image/z/18033179-59-9.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+%28x%5E2%2B5x%2B6%29%28x%5E2-3x%2B2%29-32)
(x²+5x+6)(x²-3x+2)-32
=(x+2)(x+3)(x-1)(x-2)-32
=【(x+2)(x-1)】【(x+3)(x-2)】-32
=(x²+x-2)(x²+x-6)-32
=((x²+x)^2)-8(x²+x-)+12-32
=((x²+x)^2)-8(x²+x-)-20
=(x²+x-10)(x²+x+2)
=(x+2)(x+3)(x-1)(x-2)-32
=【(x+2)(x-1)】【(x+3)(x-2)】-32
=(x²+x-2)(x²+x-6)-32
=((x²+x)^2)-8(x²+x-)+12-32
=((x²+x)^2)-8(x²+x-)-20
=(x²+x-10)(x²+x+2)