因式分解:x^2 + 4y^2 - 6x + 12y + 9 - 4xy

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/20 00:43:22
因式分解:x^2+4y^2-6x+12y+9-4xy因式分解:x^2+4y^2-6x+12y+9-4xy因式分解:x^2+4y^2-6x+12y+9-4xyx^2+4y^2-6x+12y+9-4xy=

因式分解:x^2 + 4y^2 - 6x + 12y + 9 - 4xy
因式分解:x^2 + 4y^2 - 6x + 12y + 9 - 4xy

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