一、计算：
1.（x-y)的M次方*(x-y)的M+2次方*(Y-X)的三次方
=(x-y)^M* (x-y)^(M+2)*(y-x)^3
=(x-y)^(2M+2)*(y-x)^3
=(y-x)^(2M+2)*(y-x)^3
=(y-x)^(2M+5)
2.（-X的3次方）的2次方*（-X的平方）的3次方
=x^6*(-x^6)
=-x^12
3.(x-2y+3)(x+2y-3)
=[x-(2y-3)][x+2y-3]
=x^2-(2y-3)^2
=x^2-4y^2+12y-9
4.(a+3b)的平方-2（a+3b)(a-3b)+(a-3b)的平方
=a^2+6ab+9b^2-2a^2+18b^2+a^2-6ab+9b^2
=36b^2
5.[(x+2y)(x-2y)+4(x-y)的平方]/6x
=(x^2-4y^2+4x^2-8xy+4y^2)/6x
=(5x^2-8xy)/6x
=(5x-8y)/6
二、解方程
2x(x-1)-x(3x+2)=-x(x+2)-12
2x^2-2x-3x^2-2x=-x^2-2x-12
2x=12
x=6
(x-1)*(x-2)+(x+2)(x-2)=2(x-3)(x+3)-2
x^2-3x+2+x^2-4=2x^2-18-2
3x=18
x=6