作业帮 > 数学 > 作业

问几道因式分解的题目,把过程写出来.

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/29 06:30:17
问几道因式分解的题目,把过程写出来.
x²+2x-1
2x²+xy-y²-4x+5y-6
x三次方-3x²+4
x²+2x-1
=x²+2x+1-2
=(x+1)²-(√2)²
=(x+1+√2)(x+1-√2)
2x²+xy-y²-4x+5y-6
=(2x-y)(x+y)-4x+5y-6
=(2x-y)(x+y)+(2x+2y)-6x+3y-6
=(2x-y)(x+y)+2(x+y)-6x+3y-6
=(x+y)(2x-y+2)-3(2x-y+2)
=(x+y-3)(2x-y+2)
x³-3x²+4
=x³-2x²-x²+4
=x²(x-2)-(x²-4)
=x²(x-2)-(x+2)(x-2)
=(x-2)[x²-(x+2)]
=(x-2)(x²-x-2)
=(x-2)(x-2)(x+1)
=(x+1)(x-2)²