因式分解:9x^2-1-6xy+y^2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/29 05:24:44
因式分解:9x^2-1-6xy+y^2因式分解:9x^2-1-6xy+y^2因式分解:9x^2-1-6xy+y^2答:9x^2-1-6xy+y^2=(3x)^2-2*3xy+y^2-1^2=(3x-y

因式分解:9x^2-1-6xy+y^2
因式分解:9x^2-1-6xy+y^2

因式分解:9x^2-1-6xy+y^2
答:
9x^2-1-6xy+y^2
=(3x)^2-2*3xy+y^2-1^2
=(3x-y)^2-1^2
=(3x-y-1)(3x-y+1)

=(3x)²-2×3x×y+y²
=(3x-y)²

原式
=(3x)^2-2*3xy+y^2-1^2
=(3x-y)^2-1
=(3x-y-1)(3x-y+1)

=(9x2-6xy+y2)-1
=(3x-y)2-1
=(3x-y-1)(3x-y+1)