1.3a(x-y)+9(y-x)2.(x^2-2y)^2-(1-2y)^23.16-24(x-y)+9(x-y)^2分解因式,

Question

1.3a(x-y)+9(y-x) 2.(x^2-2y)^2-(1-2y)^2 3.16-24(x-y)+9(x-y)^2 分解因式,

Answer 1

1,3a(x-y)+9(y-x) =3a（x-y）-9（x-y） =（3a-9）（x-y） 2,(x^2-2y)^2-(1-2y)^2 =【(x^2-2y)-(1-2y)】【(x^2-2y)+(1-2y)】 =（x^2-2y-1+2y）(x^2-2y+1-2y) =(x^2-1)(x^2-4y+1） =（x-1）（x+1）(x^2-4y+1） 3,16-24(x-y)+9(x-y)^2 =[3（x-y）-4）][3(x-y)-4)] =(3x+3y-4)(3x+3y-4)