因式分解:x^2 + 4y^2 - 6x + 12y + 9 - 4xy

问题描述:

因式分解:x^2 + 4y^2 - 6x + 12y + 9 - 4xy

x^2 + 4y^2 - 6x + 12y + 9 - 4xy
=x^2-4xy+4y^2-6x+12y+9
=(x-2y)^2-6(x-2y)+3^2
=(x-2y-3)^2

x^2 + 4y^2 - 6x + 12y + 9 - 4xy
=(x-2y)^2 - 6(x-2y) + 9
=[(x-2y)-3]^2
=(x-2y-3)^2

x^2 + 4y^2 - 6x + 12y + 9 - 4xy
=x^2-4xy+4y^2-6x+12y+9
=(x-2y)^2-6(x-2y)+3^2
=(x-2y-3)^2