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)(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

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)[(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+y...