数学多项式因式分解1.(a-b)^3-(a-b) 2.x^2-2xy+y^2-9 3.(x^2+y^2)^2-4x^2y^2 4.4m^2-(m+n)+2
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/26 14:58:36
数学多项式因式分解1.(a-b)^3-(a-b) 2.x^2-2xy+y^2-9 3.(x^2+y^2)^2-4x^2y^2 4.4m^2-(m+n)+2
数学多项式因式分解
1.(a-b)^3-(a-b) 2.x^2-2xy+y^2-9 3.(x^2+y^2)^2-4x^2y^2 4.4m^2-(m+n)+2
数学多项式因式分解1.(a-b)^3-(a-b) 2.x^2-2xy+y^2-9 3.(x^2+y^2)^2-4x^2y^2 4.4m^2-(m+n)+2
1.(a-b)³-(a-b)
=(a-b)[(a-b)²-1]
=(a-b)(a²+b-2ab-1)
=(a-b)(a²+b-2ab-1)
=(a-b)[(a-b)²-1]
=(a-b)(a-b+1)(a-b-1)
2.x²-2xy+y²-9
=(x-y)²-3²
=(x-y+3)(x-y-3).
3.(x²+y²)²-4x²y²
=(x²+y²)²-(2xy)²
=(x²+y²+2xy)(x²+y²-2xy)
=(x+y)²(x-y)²
4.4m²-(m+n)²
=(2m)²-(m+n)²
=(2m+m+n)(2m-m-n)
=(3m+n)(m-n).
1.(a-b)^3-(a-b)
=(a-b)[(a-b)^2-1]
=(a-b)(a-b-1)(a-b 1)
2.x^2-2xy y^2-9
=(x^2-2xy y^2)-9
=(x-y)^2-3^2
=(x-y 3)(x-y-3)
3.(x^2 y^2)^2-4x^2y^2
=(x^2 y^2)^2-(2xy)^2
=(x^2 y^2 2xy)(x^2 y^2-2xy)
=(x y)^2(x-y)^2
1.(a-b)^3-(a-b)
(a-b)^3-(a-b)
=(a-b)[(a-b)^2-1]
=(a-b)(a^2+b^2-2ab-1)
=(a-b)[(a^2+b^2-2ab)-1]
=(a-b)[(a-b)²-1]
=(a-b)(a-b+1)(a-b-1)
2.x^2-2xy+y^...
全部展开
1.(a-b)^3-(a-b)
(a-b)^3-(a-b)
=(a-b)[(a-b)^2-1]
=(a-b)(a^2+b^2-2ab-1)
=(a-b)[(a^2+b^2-2ab)-1]
=(a-b)[(a-b)²-1]
=(a-b)(a-b+1)(a-b-1)
2.x^2-2xy+y^2-9
x^2-2xy+y^2-9
=(x^2-2xy+y^2)-9
=(x-y)^2-3^2
=(x-y+3)(x-y-3).
3.(x^2+y^2)^2-4x^2y^2
(x^2+y^2)^2-4x^2y^2
=(x^2+y^2)^2-(2xy)^2
=(x^2+y^2+2xy)(x^2+y^2-2xy)
=(x+y)^2(x-y)^2.
4. 4m^2-(m+n)+2
若为4m^2-(m+n)^2
则4m^2-(m+n)^2
=(2m)^2-(m+n)^2
=(2m+m-n)(2m-m-n)
=(3m-n)(m-n).
收起
1.(a-b)(a-b+1)(a-b-1)
2.(x-y-3)(x-y+3)
3.(x+y-2xy)(x+y+2xy)
4.(3m+n)(m-n)
望采纳