8道因式分解题目，数学好的帮帮忙

1.9X³Y-36XY³+3XY
=xy(3x-6y)(3x+6y)+3xy
=xy[(3x-6y)(3x+6y)+3]
2.-X^4+X²Y²
=-x^2(x^2-y^2)
=-x^2(x-y)(x+y)
3.3(A+B)²-27C²
=3[(A+B)^2-9C^2]
=3[(A+B-3C)(A+B+3C)]
4.16(X+Y)²-25(X-Y)²
=[4(X+Y)+5(X-Y)][4(X+Y)-5(X-Y)]
=(9X-Y)(9X+9Y)
5.15Y(2X-Y)²+25(y-2x)³
=(Y-2X)^2(15Y+25Y-50X)
=(Y-2X)^2(40Y-50X)
6.2X²+12X+18
=2(x^2+6x+9)
=2(x+3)^2
7.(X+Y)²-4(X+Y-4)
=(x+y)^2-4(x+y)+16
=(x+y)(x+y-4x-4y)-16
=(x+y)(-3x-3y)-16
=-3(x+y)^2-16
8.(A²+B²)²-4AB(A²+B²)+4A²B²
=(A^2+B^2)(A^2-2AB+B^2)-2AB(A^2+B^2-2AB)
=(A^2+B^2)(A-B)^2-2AB(A-B)^2
=(A-B)^2(A^2+B^2-2AB)
=(A-B)^2(A-B)^2
=(A-B)^4
完成。
新年快乐！祝你进步！

1.9X³Y-36XY³+3XY =9xy(x^2-4y^2)+3xy
=3xy(3x^2-12y^2+1)
2.-X^4+X²Y²=x^2(y^2-x^2)
=x^2(x+y)(y-x)
3. 3(A+B