(2x+y-1)²(a+b)²-4(a+b+1)4+12(x-y)+9(x-y)²x³-9x6xy²-9x²y-y³
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 05:49:20
![(2x+y-1)²(a+b)²-4(a+b+1)4+12(x-y)+9(x-y)²x³-9x6xy²-9x²y-y³](/uploads/image/z/403710-6-0.jpg?t=%EF%BC%882x%2By-1%EF%BC%89%26%23178%3B%EF%BC%88a%2Bb%EF%BC%89%26%23178%3B-4%EF%BC%88a%2Bb%2B1%EF%BC%894%2B12%EF%BC%88x-y%EF%BC%89%2B9%EF%BC%88x-y%EF%BC%89%26%23178%3Bx%26%23179%3B-9x6xy%26%23178%3B-9x%26%23178%3By-y%26%23179%3B)
(2x+y-1)²(a+b)²-4(a+b+1)4+12(x-y)+9(x-y)²x³-9x6xy²-9x²y-y³
(2x+y-1)²
(a+b)²-4(a+b+1)
4+12(x-y)+9(x-y)²
x³-9x
6xy²-9x²y-y³
(2x+y-1)²(a+b)²-4(a+b+1)4+12(x-y)+9(x-y)²x³-9x6xy²-9x²y-y³
第一个不能分解因式.
(a+b)²-4(a+b-1)=(a+b)²-4(a+b)+4=(a+b-2)²
4+12(x-y)+9(x-y)²=(2+3x-3y)²
x³-9x=x(x²-9)=x(x+3)(x-3)
6xy²-9x²y-y³=y(6xy-9x²-y²)=-y(9x²-6xy+y²)=-y(3x-y)²